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• Maxwellʼs Equations
• Electromagnetic Waves
• Jump and Boundary Conditions
• Two Fundamental Polarizations
• References
• Diffraction Grating Theory
• Perfectly Conducting Gratings
• Dielectric Gratings
• Biperiodic Gratings
• Perfect Electric Conductors
• Dielectric Media
• References
• Variational Formulations
• The Dirichlet Problem
• The Transmission Problem
• Biperiodic Structures
• Function Spaces
• The Transparent Boundary Condition
• The Variational Problem
• References
• Finite Element Methods
• The Finite Element Method
• Finite Element Analysis for TE Polarization
• Finite Element Analysis for TM Polarization
• Adaptive Finite Element PML Method
• The PML Formulation
• Transparent Boundary Condition for the PML Problem
• Error Estimate of the PML Solution
• The Discrete Problem
• Error Representation Formula
• A Posteriori Error Analysis
• Numerical Results
• Adaptive Finite Element DtN Method
• The Discrete Problem
• A Posteriori Error Analysis
• TM Polarization
• Numerical Results
• Adaptive Finite Element PML Method for Biperiodic Structures
• The PML Formulation
• Transparent Boundary Condition for the PML Problem
• Convergence of the PML Solution
• The Discrete Problem
• A Posteriori Error Analysis
• Numerical Results
• References
• Inverse Diffraction Grating
• Uniqueness Theorems
• The Helmholtz Equation
• Maxwellʼs Equations
• Local Stability
• The Helmholtz Equation
• Maxwellʼs Equations
• Numerical Methods
• References
• Near-Field Imaging
• Near-Field Data
• The Variational Problem
• An Analytic Solution
• Convergence of the Power Series
• The Reconstruction Formula
• Error Estimates
• Numerical Results
• Far-Field Data
• The Reduced Problem
• Transformed Field Expansion
• The Reconstruction Formula
• A Nonlinear Correction Scheme
• Numerical Results
• Maxwellʼs Equations
• The Reduced Model Problem
• Transformed Field Expansion
• The Zerolh Order Term
• The First Order Term
• The Reconstruction Formula
• Numerical Results
• References
• Related Topics
• Method of Boundary Integral Equations
• Model Problems
• Quasi-periodic Greenʼs Function
• Boundary Integral Operators
• Boundary Integral Equations
• Integral Formulas for Rayleighʼs Coefficients
• Time-Domain Problems
• Problem Formulation
• Time-Domain Transparent Boundary Condition
• The Reduced Problem
• A Priori Estimates
• Nonlinear Gratings
• SHG Model
• TE-TE Polarization
• TM-TE Polarization
• Optimal Design Problems
• The Model Problem
• The Optimal Design Problem
• Homogenization of the Design Problem
• The Relaxed Problem
• References
• Appendices
• Index

This book addresses recent developments in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell's equations in periodic structures. The fundamental importance of the fields is clear, since they are related to technology with significant applications in optics and electromagnetics. The book provides both introductory materials and in-depth discussion to the areas in diffractive optics that offer rich and challenging mathematical problems. It is also intended to convey up-to-date results to students and researchers in applied and computational mathematics, and engineering disciplines as well.
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This book honors the remarkable science and life of Shoucheng Zhang, a condensed matter theorist known for his work on topological insulators, the quantum Hall effect, spintronics, superconductivity, and other fields. It contains the contributions displayed at the Shoucheng Zhang Memorial Workshop held on May 2-4, 2019 at Stanford University.
(source: Nielsen Book Data)

• Recovery: the second disaster
• Mitigation: preventing disaster
• Response: the disaster
• Damage control
• Preparedness: anticipating disaster
• Disaster justice

"In Disasterology, Dr. Montano, a disaster researcher, brings readers with her on an eye-opening journey through some of our worst disasters, helping readers make sense of what really happened from a emergency management perspective. She explains why we aren't doing enough to prevent or prepare for disasters, the critical role of media, and how our approach to recovery was not designed to serve marginalized communities. Now that climate change is contributing to the disruption of ecosystems and worsening disasters, Dr. Montano offers a preview of what will happen to our communities if we don't take aggressive, immediate action. In a section devoted to the COVID-19 pandemic, what is thus far our generation's most deadly disaster, she casts light on the many decisions made behind closed doors that failed to protect the public"-- Provided by publisher

• UNIT I: SETTING THE STAGE
• Chapter 1. Approaches in Global Change Biology How Did the Field of Global Change Biology Develop? How Are Global Change Biology Studies Designed? What Key Research Approaches Are Used in Global Change Biology? What Key Tools Are Used in Global Change Biology? Core Concepts: How are Data Displayed? Meet the Data: The Economic Value of Nature Taking a Closer Look: The Value of Biological Diversity
• Chapter 2. Brief History of Life on Earth What Key Transitions Led to the Emergence of Life on Earth? How Did Cellular Life Evolve and Diversify? What Evolutionary Processes Shape Biological Diversity? When Have Speciation and Extinction Rates Been Particularly High? Core Concepts: What is a Phylogenetic Tree? Meet the Data: The Ring of Life Taking a Closer Look: Biological Levels of Change
• Chapter 3. Rise of the Humans When and How Did Early Hominids Evolve? When and How Did Modern Humans Spread Around the World? How Did Early Human Civilizations Impact the Environment? Core Concepts: What Is In a Name? Meet the Data: Ice Age Genetics Taking a Closer Look: The Evolutionary Success of Humans
• Chapter 4. The Anthropocene What Is the Anthropocene and When Did It Begin? What Are Patterns of Contemporary Population Growth? How Are Contemporary Human Civilizations Impacting the Environment? How Do Anthropogenic Stressors Interact with Each Other? What Influences Overall Vulnerability to Global Change Pressures? Core Concepts: What is Climate and How Is It Measured? Meet the Data: Pollinators and Pesticides Taking a Closer Look: Historical and Contemporary Climate Change UNIT II: CORE RESPONSES TO GLOBAL CHANGE STRESSORS
• Chapter 5. Core Responses: Move How and Why Do Organisms Move? What Is a Geographic Range? What Factors Determine a Species' Geographic Range? Do Range Changes Occur Even Without Anthropogenic Influence? What Types of Range Changes Occur in Response to Anthropogenic Pressures? How Do Scientists Predict Range Changes? Core Concepts: What Is a Niche? Meet the Data: A Century of Change in Yosemite Taking a Closer Look: Globalization and Invasive Species
• Chapter 6. Core Responses: Adjust What Is Phenotypic Plasticity? Is the Capacity for Plasticity Consistent Across Traits and Species? What Types of Plasticity Occur in Response to Global Change What Mechanisms Underlie Phenotypic Plasticity? How Do Scientists Assess and Predict Phenotypic Plasticity? Can Plasticity Facilitate Long-Term Persistence? Core Concepts: What Are the Mechanisms of Heredity? Meet the Data: Phenology and Global Warming Taking a Closer Look: Urbanization
• Chapter 7. Core Responses: Adapt What Conditions Are Required for Adaptation? What Is an Example of Evolution by Natural Selection? What Types of Adaptation Occur in Response to Global Change Pressures? How Do Scientists Identify Adaptations and Predict Adaptive Potential? Can Adaptation Prevent Extinction? Core Concepts: Where Does Genetic Variation Come From? Meet the Data: The Daphnia Time Machine Taking a Closer Look: Coral Reefs
• Chapter 8. Core Responses: Die How Is the Survival of Individuals, Populations, and Species Connected? What Are Examples of Extinction in Response to Global Change Pressures? How Do Scientists Estimate Extinction Risk? How Do Scientists Summarize Global Patterns of Extinction Risk? What Is the Sixth Mass Extinction? Core Concepts: What is Extinction Debt? Meet the Data: The Sixth Mass Extinction Taking a Closer Look: Amphibian Declines UNIT III: COMPLEX RESPONSES TO GLOBAL CHANGE PRESSURES
• Chapter 9. Community-Level Responses What Are Key Types of Biological Interactions? How Do Global Change Pressures Affect Biological Interactions? How Does Extinction Affect Communities? What Are Cascading Effects? Core Concepts: What Are Above- and Below-Ground Food Webs? Meet the Data: The Collapse of Mutualisms Taking a Closer Look: Kelp Forests and Trophic Cascades
• Chapter 10. Ecosystem-Level Responses What Are Biogeochemical Cycles? How Do Global Change Pressures Impact Ecosystems? How Do Global Change Pressures Impact Large-Scale Earth Systems? What Is a Feedback? What Is Ecosystem Collapse? What Is Ecosystem Resilience? Core Concepts: What is a Biodiversity Hotspot? Meet the Data: Greenhouse Gases in the Soil Taking a Closer Look: Factors Influencing Response to Global Change UNIT IV: NEW HORIZONS
• Chapter 11. Conservation in an Era of Global Change Why Is It Important to Explicitly Define Conservation Priorities? Why Is It Important to Match Conservation Actions to Particular Biological Levels? What Are Examples of Fine-Filter Conservation Strategies? What Are Examples of Coarse-Filter Conservation Strategies? What Is Adaptive Management? Core Concepts: What is Climate Mitigation? Meet the Data: Maximizing Evolutionary Diversity Taking a Closer Look: Emerging Technologies and Conservation Ethics
• Chapter 12. Aligning the Interests of Biodiversity and Human Society What Are Coupled Human-Natural Systems? What Societal Levers Can Be Used to Support Biodiversity Conservation? How Can Individuals Support Biodiversity Conservation? How Can Collectives Support Biodiversity Conservation? How Can Policy Action Support Biodiversity Conservation? What Is the Forecast for the Future? Core Concepts: What is I=PAT? Meet the Data: Financial Incentives for Dynamic Conservation Taking a Closer Look: Environmental Worldviews.
• (source: Nielsen Book Data)

Bree Rosenblum's Global Change Biology provides a comprehensive introduction to the field of Global Change Biology and a roadmap for structuring Global Change Biology courses, a burgeoning field of biological study. The first of its kind, Rosenblum goes beyond the narrow focus of existing texts, which tend to focus on climate only, by offering a conceptionally integrated approach to understanding how humans have impacted life on Earth. The textbook guides students to think about change across spatial and temporal scales and fills a unique niche of integrating ecological and evolutionary perspectives throughout. Global Change Biology is available in e-book format only. Print-on-demand can be provided for orders where print is specified. The conceptual arc of the textbook is organized around four fundamental learning objectives that traverse the past, present, and future. Students will explore: a) the complex history of planetary change, b) the impact of contemporary stressors across biological levels, biomes, and the tree of life, c) the dynamic interactions and responses of living systems to planetary change, and d) the opportunities for maintaining resilient ecosystems in a changing world. Enrichment features include Core Concepts boxes reviewing foundational material, Meet the Data boxes providing direct experience interpreting global change biology data, and Taking a Closer Look providing an opportunity to evaluate multifaceted biological responses in complex systems. Pre- and post- assessment tools like The Blank Page and reflection questions throughout, encourage students to reflect, self-assess, and deepen their learning. The primary intended audience for Global Change Biology is upper division undergraduate students who are ready to apply key concepts in ecology and evolution to the Global Change Biology theme area and develop a more analytical and integrative skill set as scientists. However, the textbook has crossover power to engage other audiences and provide a roadmap for developing courses to inform and inspire students about the study of life on a rapidly changing planet.
(source: Nielsen Book Data)

• Preface
• Mechanics of Random Motion
• Smooth Motion and Random Motion
• On Stochastic Processes
• Itô's Path Analysis
• Equation of Motion for a Stochastic Process
• Kinematics of Random Motion
• Free Random Motion of a Particle
• Hooke's Force
• Hooke's Force and an Additional Potential
• Complex Evolution Functions
• Superposition Principle
• Entangled Quantum Bit
• Light Emission from a Silicon Semiconductor
• The Double-Slit Problem
• Double-Slit Experiment with Photons
• Theory of Photons
• Principle of Least Action
• Transformation of Probability Measures
• Schrödinger Equation and Path Equation
• Applications
• Motion induced by the Coulomb Potential
• Charged Particle in a Magnetic Field
• Aharonov-Bohm Effect
• Tunnel Effect
• Bose-Einstein Distribution
• Random Motion and the Light Cone
• Origin of the Universe
• Classification of Boundary Points
• Particle Theory of Electron Holography
• Escherichia coli and Meson models
• High-Temperature Superconductivity
• Momentum, Kinetic Energy, Locality
• Momentum and Kinetic Energy
• Matrix Mechanics
• Function Representations of Operators
• Expectation and Variance
• The Heisenberg Uncertainty Principle
• Kinetic Energy and Variance of Position
• Theory of Hidden Variables
• Einstein's Locality
• Bell's Inequality
• Local Spin Correlation Model
• Long-Lasting Controversy and Random Motion
• Markov Processes
• Time-Homogeneous Markov Proces-ses
• Transformations by M-Functionals
• Change of Time Scale
• Duality and Time Reversal
• Time Reversal, Last Occurrence Time
• Time Reversal, Equations of Motion
• Conditional Expectation
• Paths of Brownian Motion
• Applications of Relative Entropy
• Relative Entropy
• Variational Principle
• Exponential Family of Distributions
• Existence of Entrance and Exit Functions
• Cloud of Paths
• Kac's Phenomenon of Propagation of Chaos
• Extinction and Creation
• Extinction of Particles
• Piecing-Together Markov Processes
• Branching Markov Processes
• Construction of Branching Markov Processes
• Markov Processes with Age
• Branching Markov Processes with Age
• Bibliography
• Index

This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schroedinger equation is a complex-valued evolution equation and the Schroedinger function is a complex-valued evolution function, important applications are given. Readers will learn about new mathematical methods (theory of stochastic processes) in solving problems of quantum phenomena. Readers will also learn how to handle stochastic processes in analyzing physical phenomena.
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• Introduction to field theory
• Classical field theory
• Classical symmetries and conservation laws
• Canonical quantization
• Path integrals in quantum mechanics and quantum field theory
• Nonrelativistic field theory
• Quantization of the free Dirac field
• Coherent-state path-integral quantization of quantum field theory
• Quantization of gauge fields
• Observables and propagators
• Perturbation theory and Feynman diagrams
• Vertex functions, the effective potential and symmetry breaking
• Perturbation theory, regularization and renormalization
• Quantum field theory and statistical mechanics
• The renormalization group
• The perturbative renormalization group
• The 1/N expansions
• Phases of gauge theory
• Instantons and solitons
• Anomalies in quantum field theory
• Conformal field theory
• Topological field theory

The only graduate-level textbook on quantum field theory that fully integrates perspectives from high-energy, condensed-matter, and statistical physics Quantum field theory was originally developed to describe quantum electrodynamics and other fundamental problems in high-energy physics, but today has become an invaluable conceptual and mathematical framework for addressing problems across physics, including in condensed-matter and statistical physics. With this expansion of applications has come a new and deeper understanding of quantum field theory-yet this perspective is still rarely reflected in teaching and textbooks on the subject. Developed from a year-long graduate course Eduardo Fradkin has taught for years to students of high-energy, condensed-matter, and statistical physics, this comprehensive textbook provides a fully "multicultural" approach to quantum field theory, covering the full breadth of its applications in one volume. Brings together perspectives from high-energy, condensed-matter, and statistical physics in both the main text and exercises Takes students from basic techniques to the frontiers of physics Pays special attention to the relation between measurements and propagators and the computation of cross sections and response functions Focuses on renormalization and the renormalization group, with an emphasis on fixed points, scale invariance, and their role in quantum field theory and phase transitions Other topics include non-perturbative phenomena, anomalies, and conformal invariance Features numerous examples and extensive problem sets Also serves as an invaluable resource for researchers.
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• Introduction to gauge theory / A. Haydys
• Knots, polynomials, and categorification / Jacob Rasmussen
• Lecture notes on Heegard Floer homology / Jennifer Hom
• Advanced topics in gauge theory: mathematics and physics of Higgs bundles / Laura P. Schaposnik
• Gauge theory and a few applications to knot theory / Tomasz S. Mrowka and Donghao Wang
• Lectures on invertible field theories / Soren Galatius
• Topological quantum field theories, knots and BPS states / Pavel Putrov
• Lectures on BPS states and spectral networks / Andrew Neitzke

This volume contains lectures from the Graduate Summer School ""Quantum Field Theory and Manifold Invariants"" held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include mathematical gauge theory (anti-self-dual equations, Seiberg-Witten equations, Higgs bundles), classical and categorified knot invariants (Khovanov homology, Heegaard Floer homology), instanton Floer homology, invertible topological field theory, BPS states and spectral networks. This collection presents a rich blend of geometry and topology, with some theoretical physics thrown in as well, and so provides a snapshot of a vibrant and fast-moving field. Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.
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• Foreword / Yuri I. Manin
• Feynman integrals in mathematics and physics / Spencer Bloch
• Feynman integrals and periods in configuration spaces / Özgür Ceyhan and Matilde Marcolli
• Introductory course on l-adic sheaves and their ramification theory on curves / Lars Kindler and Kay Rülling

This is the first volume of the lectures presented at the Clay Mathematics Institute 2014 Summer School, "Periods and Motives: Feynman amplitudes in the 21st century", which took place at the Instituto de Ciencias Matematicas-ICMAT (Institute of Mathematical Sciences) in Madrid, Spain. It covers the presentations by S. Bloch, by M. Marcolli and by L. Kindler and K. Rulling. The main topics of these lectures are Feynman integrals and ramification theory. On the Feynman integrals side, their relation with Hodge structures and heights as well as their monodromy are explained in Bloch's lectures. Two constructions of Feynman integrals on configuration spaces are presented in Ceyhan and Marcolli's notes. On the ramification theory side an introduction to the theory of l -adic sheaves with emphasis on their ramification theory is given. These notes will equip the reader with the necessary background knowledge to read current literature on these subjects.
(source: Nielsen Book Data)

The essential primer for physics students who want to build their physical intuition Presented in A. Zee's incomparably engaging style, this book introduces physics students to the practice of using physical reasoning and judicious guesses to get at the crux of a problem. An essential primer for advanced undergraduates and beyond, Fly by Night Physics reveals the simple and effective techniques that researchers use to think through a problem to its solution-or failing that, to smartly guess the answer-before starting any calculations. In typical physics classrooms, students seek to master an enormous toolbox of mathematical methods, which are necessary to do the precise calculations used in physics. Consequently, students often develop the unfortunate impression that physics consists of well-defined problems that can be solved with tightly reasoned and logical steps. Idealized textbook exercises and homework problems reinforce this erroneous impression. As a result, even the best students can find themselves completely unprepared for the challenges of doing actual research. In reality, physics is replete with back of the envelope estimates, order of magnitude guesses, and fly by night leaps of logic. Including exciting problems related to cutting-edge topics in physics, from Hawking radiation to gravity waves, this indispensable book will help students more deeply understand the equations they have learned and develop the confidence to start flying by night to arrive at the answers they seek. For instructors, a solutions manual is available upon request.
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• General introduction Derivation of the weakly nonlinear amplitude equation Existence of exact solutions Approximate solutions Error Analysis and proof of Theorem 3.8 Some extensions Appendix A. Singular pseudodifferential calculus for pulses Bibliography.
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This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. The authors consider surface waves (or more precisely, Rayleigh waves) arising in the general class of isotropic hyperelastic models, which includes in particular the Saint Venant-Kirchhoff system. Work has been done by a number of authors since the 1980s on the formulation and well-posedness of a nonlinear evolution equation whose (exact) solution gives the leading term of an approximate Rayleigh wave solution to the underlying elasticity equations. This evolution equation, which is referred to as ``the amplitude equation'', is an integrodifferential equation of nonlocal Burgers type. The authors begin by reviewing and providing some extensions of the theory of the amplitude equation. The remainder of the paper is devoted to a rigorous proof in 2D that exact, highly oscillatory, Rayleigh wave solutions $u^{\varepsilon} $ to the nonlinear elasticity equations exist on a fixed time interval independent of the wavelength $\varepsilon $, and that the approximate Rayleigh wave solution provided by the analysis of the amplitude equation is indeed close in a precise sense to $u^{\varepsilon}$ on a time interval independent of $\varepsilon $. This paper focuses mainly on the case of Rayleigh waves that are pulses, which have profiles with continuous Fourier spectrum, but the authors' method applies equally well to the case of wavetrains, whose Fourier spectrum is discrete.
(source: Nielsen Book Data)

"We prove Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces which impose minimal regularity requirements on pairs of connections and sections. The Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions generalize that of the pure Yang-Mills energy function due to the first author (Feehan, 2014) for base manifolds of arbitrary dimension and due to R"ade (1992, Proposition 7.2) for dimensions two and three"-- Provided by publisher

• 1. Fundamental concepts
• 2. Quantum dynamics
• 3. Theory of angular momentum
• 4. Symmetry in quantum mechanics
• 5. Approximation methods
• 6. Scattering theory
• 7. Identical particles
• 8. Relativistic quantum mechanics
• Appendix A. Electromagnetic units
• Appendix B. Elementary solutions to Schroedinger's wave equation
• Appendix C. Hamiltonian for a charge in an electromagnetic field
• Appendix D. Proof of the angular-momentum addition rule (3.8.38)
• Appendix E. Finding Clebsch-Gordan coefficients
• Appendix F. Notes on complex variables.
• (source: Nielsen Book Data)

Modern Quantum Mechanics is a classic graduate level textbook, covering the main concepts from quantum mechanics in a clear, organized and engaging manner. The original author, J. J. Sakurai, was a renowned particle theorist. This third edition, revised by Jim Napolitano, introduces topics that extend its value into the twenty-first century, such as modern mathematical techniques for advanced quantum mechanical calculations, while at the same time retaining fundamental topics such as neutron interferometer experiments, Feynman path integrals, correlation measurements, and Bell's inequalities. A solutions manual is available.
(source: Nielsen Book Data)

• volume 1. Basic concepts, tools, and applications
• volume 2. Angular momentum, spin, and approximation methods
• volume 3. Fermions, bosons, photons, correlations, and entanglement

This new edition of the unrivalled textbook introduces the fundamental concepts of quantum mechanics such as waves, particles and probability before explaining the postulates of quantum mechanics in detail. In the proven didactic manner, the textbook then covers the classical scope of introductory quantum mechanics, namely simple two-level systems, the one-dimensional harmonic oscillator, the quantized angular momentum and particles in a central potential. The entire book has been revised to take into account new developments in quantum mechanics curricula. The textbook retains its typical style also in the new edition: it explains the fundamental concepts in chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * The quantum mechanics classic in a new edition: written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloe * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the book contains more than 350 worked examples plus exercises Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Superieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the College des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloe was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Superieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
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This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloe * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Superieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the College des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloe was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Superieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
(source: Nielsen Book Data)

Speckle, a granular structure appearing in images and diffraction patterns produced by objects that are rough on the scale of an optical wavelength, is a ubiquitous phenomenon, appearing in optics, acoustics, microwaves, and other fields. This book provides comprehensive coverage of this subject, including both the underlying statistical theory and the applications of this phenomenon. This second edition offers improvements of several topics and addition of significant amounts of new material, including discussion of: generalized random walks, speckle in the eye, polarization speckle (and the statistics of the Stokes parameters in a speckle pattern), the effects of angle and wavelength changes on speckle, the statistics of speckle from "smooth" surfaces, and a spectrometer based on speckle. Many new references are also included. As with the first edition, a multitude of areas of application are covered.
(source: Nielsen Book Data)

• Preface
• Acknowledgements
• 1. Vectors and functions
• 2. Operators and Eigenfunctions
• 3. The Schroedinger equation
• 4. Solving the Schroedinger equation
• 5. Solutions for specific potentials
• References
• Index.
• (source: Nielsen Book Data)

Quantum mechanics is a hugely important topic in science and engineering, but many students struggle to understand the abstract mathematical techniques used to solve the Schroedinger equation and to analyze the resulting wave functions. Retaining the popular approach used in Fleisch's other Student's Guides, this friendly resource uses plain language to provide detailed explanations of the fundamental concepts and mathematical techniques underlying the Schroedinger equation in quantum mechanics. It addresses in a clear and intuitive way the problems students find most troublesome. Each chapter includes several homework problems with fully worked solutions. A companion website hosts additional resources, including a helpful glossary, Matlab code for creating key simulations, revision quizzes and a series of videos in which the author explains the most important concepts from each section of the book.
(source: Nielsen Book Data)

• Climatic and eco-epidemiological aspects of zoonotic cutaneous leishmaniasis in Ouarzazate Province, Morocco / Ahmed Karmaoui
• Seasonal distribution of zoonotic cutaneous leishmaniasis, in Middle Draa Valley, south of Morocco / Ahmed Karmaoui, Siham Zerouali
• Water-climate-leishmaniasis nexus in an endemic focus of zoonotic cutaneous leishmaniasis, the Middle Draa Valley, Morocco / Ahmed Karmaoui, Siham Zerouali
• Associations between climate and the activity of the phlebotomus papatasi, vector of cutaneous leishmaniasis / Ahmed Karmaoui, Siham Zerouali
• Environmental vulnerability and the need to establish long-term ecological research network in Morocco (Mo-LTER) / Ahmed Karmaoui, Siham Zerouali
• Drought and desertification, exploring the connections under the young eyes in Moroccan pre-Sahara, Draa Valleys / Ahmed Karmaoui, Siham Zerouali
• Ecological and social drivers of ecosystem vulnerability in Oasis Biome, Morocco / Ahmed Karmaoui
• Biodiversity informatics management initiative in consonance with conservation and ecosystem services in climate change adaptation / Dipankar Saha, R.K. Bhatt
• Climate change, ecosystem services and food security / Samreen Siddiqui

Ecosystems provide services that are crucial and beneficial to the human population. The management and conservation of these services can assure the wellbeing of the local population. Climate Change and Its Impact on Ecosystem Services and Biodiversity in Arid and Semi-Arid Zones is an essential reference source that studies the effects of climate change on biodiversity and ecosystem services in dry regions and examines various strategic local, national, and international policy developments to help overcome these impacts. Featuring research on topics such as poverty reduction, climate change, and adaption policies, this book is ideally designed for environmentalists, policymakers, government officials, academicians, researchers, and technology developers who want to improve their understanding of climate change impact, vulnerability, and sustainability, and the strategic role of adaptation and mitigation.
(source: Nielsen Book Data)

• I Preliminaries and Tools
• 1: Introduction
• 2: Symmetries of Space-Time
• 3: Relativistic Wave Equations
• 4: The Hydrogen Atom and Positronium
• 5: The Quark Model
• 6: Detectors of Elementary Particles
• 7: Tools for Calculation II The Strong Interaction
• 8: Electron-Positron Annihilation
• 9: Deep Inelastic Electron Scattering
• 10: The Gluon
• 11: Quantum Chromodynamics
• 12: Partons and Jets
• 13: QCD at Hadron Colliders
• 14: Chiral Symmetry III The Weak Interaction
• 15: The Current-Current Model of the Weak Interaction
• 16: Gauge Theories with Spontaneous Symmetry Breaking
• 17: The W and Z Bosons
• 18: Quark Mixing Angles and Weak Decays
• 19: CP Violation
• 20: Neutrino Masses and Mixings
• 21: The Higgs Boson
• 22: Epilogue.
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The purpose of this textbook is to explain the Standard Model of particle physics to a student with an undergraduate preparation in physics. Today we can claim to have a fundamental picture of the strong and weak subnuclear forces. Through an interplay between theory and experiment, we have learned the basic equations through which these forces operate, and we have tested these equations against observations at particle accelerators. The story is beautiful and full of surprises. Using a simplified presentation that does not assume prior knowledge of quantum field theory, this book begins from basic concepts of special relativity and quantum mechanics, describes the key experiments that have clarified the structure of elementary particle interactions, introduces the crucial theoretical concepts, and builds up to the full description of elementary particle interactions as we know them today.
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• Introduction Preliminaries A $2\times 2$ matrix trick Ultrapowers of trivial $\mathrm W^*$-bundles Property (SI) and its consequences Unitary equivalence of totally full positive elements $2$-coloured equivalence Nuclear dimension and decomposition rank Quasidiagonal traces Kirchberg algebras Addendum Bibliography.
• (source: Nielsen Book Data)

The authors introduce the concept of finitely coloured equivalence for unital $^*$-homomorphisms between $\mathrm C^*$-algebras, for which unitary equivalence is the $1$-coloured case. They use this notion to classify $^*$-homomorphisms from separable, unital, nuclear $\mathrm C^*$-algebras into ultrapowers of simple, unital, nuclear, $\mathcal Z$-stable $\mathrm C^*$-algebras with compact extremal trace space up to $2$-coloured equivalence by their behaviour on traces; this is based on a $1$-coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, $\mathcal Z$-stable $\mathrm C^*$-algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a ``homotopy equivalence implies isomorphism'' result for large classes of $\mathrm C^*$-algebras with finite nuclear dimension.
(source: Nielsen Book Data)

• A first look at the mass-critical problem
• The cubic NLS in dimensions three and four
• The energy-critical problem in higher dimensions
• Mass-critical NLS problem in higher dimensions
• Low-dimensional well-posedness results.

• Introduction Preliminaries Meromorphic continuation of the resolvent Boundary layer operators Dynamical resonance free regions Existence of resonances for the Delta potential Appendix A. Model cases Appendix B. Semiclassical intersecting Lagrangian distributions Appendix C. The semiclassical Melrose-Taylor parametrix Bibliography.
• (source: Nielsen Book Data)

The author studies high energy resonances for the operators $-\Delta_{\partial\Omega, \delta}:=-\Delta \delta_{\partial\Omega}\otimes V\quad \textrm{and}\quad -\Delta_{\partial\Omega, \delta'}:=-\Delta \delta_{\partial\Omega}'\otimes V\partial_\nu$ where $\Omega\subset{\mathbb{R}}^{d}$ is strictly convex with smooth boundary, $V:L^{2}(\partial\Omega)\to L^{2}(\partial\Omega)$ may depend on frequency, and $\delta_{\partial\Omega}$ is the surface measure on $\partial\Omega$.
(source: Nielsen Book Data)