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1. Memorial volume for Shoucheng Zhang [2022]
 Shoucheng Zhang Memorial Workshop (2019 : Stanford University)
 Singapore ; Hackensack, NJ : World Scientific, [2022]
 Description
 Book — lxvii, 441 pages : illustrations (some color) ; 25 cm
 Summary

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 24, 2019 at Stanford University.
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QC173.45 .S56 2019  Unavailable Out for repair Request 
 Rosenblum, Erica Bree, author.
 New York : Oxford University Press, [2021]
 Description
 Book — xxii, 392 pages : illustrations (chiefly color), color maps ; 24 cm
 Summary

 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 LongTerm 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. CommunityLevel 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 BelowGround Food Webs? Meet the Data: The Collapse of Mutualisms Taking a Closer Look: Kelp Forests and Trophic Cascades
 Chapter 10. EcosystemLevel Responses What Are Biogeochemical Cycles? How Do Global Change Pressures Impact Ecosystems? How Do Global Change Pressures Impact LargeScale 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 FineFilter Conservation Strategies? What Are Examples of CoarseFilter 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 HumanNatural 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.
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QC903 .R66 2021  Unknown 
3. Markov processes and quantum theory [2021]
 Nagasawa, Masao, 1933 August 1 author.
 Cham, Switzerland : Birkhäuser, [2021]
 Description
 Book — xii, 339 pages : illustrations ; 25 cm
 Summary

 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 DoubleSlit Problem
 DoubleSlit 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
 AharonovBohm Effect
 Tunnel Effect
 BoseEinstein 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
 HighTemperature 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
 LongLasting Controversy and Random Motion
 Markov Processes
 TimeHomogeneous Markov Processes
 Transformations by MFunctionals
 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
 PiecingTogether Markov Processes
 Branching Markov Processes
 Construction of Branching Markov Processes
 Markov Processes with Age
 Branching Markov Processes with Age
 Bibliography
 Index
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QC174.17 .M33 N34 2021  Unavailable In process Request 
 Fradkin, Eduardo, author.
 Princeton, New Jersey : Princeton University Press, [2021]
 Description
 Book — xix, 732 pages : illustrations ; 27 cm
 Summary

 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
 Coherentstate pathintegral 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
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QC174.45 .F695 2021  Unknown 
 Clay Mathematics Institute. Summer School (2014 : Madrid, Spain), author.
 Providence, RI : Published by the American Mathematical Society for the Clay Mathematics Institute, [2020]
 Description
 Book — xiv, 229 pages : illustrations ; 26 cm
 Summary

 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 ladic sheaves and their ramification theory on curves / Lars Kindler and Kay Rülling
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QC19.2 .C586 2014  Unknown 
 Zee, A., author.
 Princeton, New Jersey : Princeton University Press, [2020]
 Description
 Book — xxiv, 430 pages : illustrations ; 26 cm
 Summary

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 solutionor failing that, to smartly guess the answerbefore 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 welldefined 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 cuttingedge 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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QC21.3 .Z44 2020  Unknown On reserve: Ask at circulation desk 2hour loan 
PHYSICS21601
 Course
 PHYSICS21601  Back of the Envelope Physics
 Instructor(s)
 Madejski, Grzegorz M.
 Coulombel, JeanFrançois, author.
 Providence, RI : American Mathematical Society, 2020
 Description
 Book — v, 151 pages ; 26 cm
 Summary

 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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Shelved by Series title NO.1271  Unknown 
 Feehan, Paul M. N., 1961 author.
 Providence, RI : American Mathematical Society, [2020]
 Description
 Book — xiii, 138 pages ; 26 cm
 Summary

"We prove LojasiewiczSimon gradient inequalities for coupled YangMills energy functions using Sobolev spaces which impose minimal regularity requirements on pairs of connections and sections. The LojasiewiczSimon gradient inequalities for coupled YangMills energy functions generalize that of the pure YangMills 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
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Shelved by Series title NO.1302  Unavailable At bindery Request 
9. Modern quantum mechanics [2020]
 Sakurai, J. J. (Jun John), 19331982, author.
 Third edition  New York : Cambridge University Press, 2021
 Description
 Book — xxi, 548 pages : illustrations (black and white) ; 26 cm
 Summary

 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 angularmomentum addition rule (3.8.38)
 Appendix E. Finding ClebschGordan coefficients
 Appendix F. Notes on complex variables.
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Engineering Library (Terman), Science Library (Li and Ma)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
QC174.12 .S25 2021  Unknown 2hour loan 
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QC174.12 .S25 2021  Unknown On reserve: Ask at circulation desk 2hour loan 
QC174.12 .S25 2021  Unknown On reserve: Ask at circulation desk 2hour loan 
MATSCI18501, PHYSICS13001, PHYSICS23001
 Course
 MATSCI18501  Quantum Mechanics for Materials Science
 Instructor(s)
 Devereaux, Thomas Peter
 Course
 PHYSICS13001  Quantum Mechanics I
 Instructor(s)
 Manoharan, Hari Chelvasekaran
 Course
 PHYSICS23001  Graduate Quantum Mechanics I
 Instructor(s)
 Shenker, Stephen
10. Quantum mechanics [2020]
 Mécanique quantique. English
 CohenTannoudji, Claude, 1933 author.
 Second edition  Weinheim, Germany : WileyVCH, [2020]
 Description
 Book — 3 volumes (2353 pages) : illustrations ; 25 cm
 Summary

 volume 1. Basic concepts, tools, and applications
 volume 2. Angular momentum, spin, and approximation methods
 volume 3. Fermions, bosons, photons, correlations, and entanglement
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This new, third volume of CohenTannoudji'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 CohenTannoudji 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 CohenTannoudji was a researcher at the KastlerBrossel 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 atomphoton interactions. In 1997, Claude CohenTannoudji, 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 KastlerBrossel 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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QC174.12 .C6313 2020 V.1  Unknown 
QC174.12 .C6313 2020 V.2  Unknown 
QC174.12 .C6313 2020 V.3  Unknown 
 Goodman, Joseph W. author.
 Second edition  Bellingham, Washington : SPIE Press, [2020]
 Description
 Book — xvi, 451 pages : illustrations ; 26 cm
 Summary

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.
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QC427.8 .S64 G66 2020  Unknown 
 Fleisch, Daniel A., author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020
 Description
 Book — xi, 223 pages : illustrations (black and white) ; 23 cm
 Summary

 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.
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QC174.26 .W28 F54 2020  Unknown 
13. Climate change and its impact on ecosystem services and biodiversity in arid and semiarid zones [2019]
 Hershey PA : Engineering Science Reference (an imprint of IGI Global), [2019]
 Description
 Book — xxiii, 408 pages : illustrations (xome color) ; 29 cm
 Summary

 Climatic and ecoepidemiological 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
 Waterclimateleishmaniasis 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 longterm ecological research network in Morocco (MoLTER) / Ahmed Karmaoui, Siham Zerouali
 Drought and desertification, exploring the connections under the young eyes in Moroccan preSahara, 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
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QC903.2 .M8 C55 2019  Unknown 
14. Concepts of elementary particle physics [2019]
 Peskin, Michael Edward, 1951 author.
 First edition.  Oxford ; New York, NY : Oxford University Press, 2019.
 Description
 Book — xii, 380 pages : illustrations (some color) ; 25 cm.
 Summary

 I Preliminaries and Tools
 1: Introduction
 2: Symmetries of SpaceTime
 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: ElectronPositron 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 CurrentCurrent 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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QC793.24 .P47 2019  Unknown 
QC793.24 .P47 2019  Unknown 
 Bosa, Joan, 1985 author.
 Providence, RI : AMS, American Mathematical Society,
 Description
 Book — vii, 97 pages : illustrations ; 26 cm.
 Summary

 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.
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Shelved by Series title NO.1233  Unknown 
16. Defocusing nonlinear Schrödinger equations [2019]
 Dodson, Benjamin, 1983 author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2019.
 Description
 Book — xii, 242 pages ; 24 cm.
 Summary

 A first look at the masscritical problem
 The cubic NLS in dimensions three and four
 The energycritical problem in higher dimensions
 Masscritical NLS problem in higher dimensions
 Lowdimensional wellposedness results.
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QC174.26 .W28 D63 2019  Unknown 
 Galkowski, Jeffrey, author.
 Providence, RI : AMS, American Mathematical Society, [2019]
 Description
 Book — ix, 152 pages : illustrations ; 26 cm.
 Summary

 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 MelroseTaylor parametrix Bibliography.
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Shelved by Series title NO.1248  Unknown 
18. Extended states for the Schrödinger operator with quasiperiodic potential in dimension two [2019]
 Karpeshina, Yulia E., 1956 author.
 Providence, RI : American Mathematical Society, [2019]
 Description
 Book — v. 139 pages ; 25 cm.
 Summary

 Introduction Preliminary Remarks Step I Step II Step III Step IV Induction Isoenergetic Sets. Generalized Eigenfunctions of $H$ Proof of Absolute Continuity of the Spectrum Appendices List of main notations Bibliography.
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Shelved by Series title NO.1239  Unknown 
19. A guide to experiments in quantum optics [2019]
 Bachor, H.A. (HansAlbert), author.
 Third edition  Weinheim, Germany : WileyVCH Verlag GmbH, [2019]
 Description
 Book — xix, 565 pages ; 25 cm
 Summary

 Classical models of light
 Photons : the motivation to go beyond classical optics
 Quantum odels of light
 Basic optical components
 Lasers and amplifiers
 Photon generation and detection
 Quantum noise : basic measurements and techniques
 Squeezed light
 Applications of quantum light
 QND
 Fundamental tests of quantum mechanics Quantum information
 The future : from Qdemonstrations to Qtechnologies
 Appendix A : List of quantum operators, states, and functions
 Appendix B: Calculation of the quantum properties of a feedback loop
 Appendix C : Detection of signal and noise with an ESA reference
 Appendix D : An example of analogue processing of photocurrents
 Appendix E : Symbols and abbreviations
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QC446.2 .B32 2019  Unknown 
 Colton, David L., 1943 author.
 Fourth edition  Cham, Switzerland : Springer, [2019]
 Description
 Book — xvii, 518 pages : illustrations ; 25 cm
 Summary

 Introduction
 The Direct Scattering Problem
 The Inverse Scattering Problem
 The Helmholtz Equation
 Acoustic Waves
 Green's Theorem and Formula
 Spherical Harmonics
 Spherical Bessel Functions
 The Far Field Pattern
 Direct Acoustic Obstacle Scattering
 Single and DoubleLayer Potentials
 Scattering from a SoundSoft Obstacle
 Impedance Boundary Conditions
 Herglotz Wave Functions and the Far Field Operator
 The TwoDimensional Case
 On the Numerical Solution in R2
 On the Numerical Solution in R3
 IllPosed Problems
 The Concept of IllPosedness
 Regularization Methods
 Singular Value Decomposition
 Tikhonov Regularization
 Nonlinear Operators
 Inverse Acoustic Obstacle Scattering
 Uniqueness
 Physical Optics Approximation
 Continuity and Differentiability of the Far Field Mapping
 Iterative Solution Methods
 Decomposition Methods
 Sampling Methods
 The Maxwell Equations
 Electromagnetic Waves
 Green's Theorem and Formula
 Vector Potentials
 Scattering from a Perfect Conductor
 Vector Wave Functions
 Herglotz Pairs and the Far Field Operator
 Inverse Electromagnetic Obstacle Scattering
 Uniqueness
 Continuity and Differentiability of the Far Field Mapping
 Iterative Solution Methods
 Decomposition Methods
 Sampling Methods
 Acoustic Waves in an Inhomogeneous Medium
 Physical Background
 The LippmannSchwinger Equation
 The Unique Continuation Principle
 The Far Field Pattern
 The Analytic Fredholm Theory
 Transmission Eigenvalues
 Numerical Methods
 Electromagnetic Waves in an Inhomogeneous Medium
 Physical Background
 Existence and Uniqueness
 The Far Field Patterns
 The Spherically Stratified Dielectric Medium
 The Exterior Impedance Boundary Value Problem
 Transmission Eigenvalues
 Existence of Transmission Eigenvalues
 Integral Equation Methods for Transmission Eigenvalues
 Complex Transmission Eigenvalues for Spherically Stratified Media
 The Inverse Spectral Problem for Transmission Eigenvalues
 Modified Transmission Eigenvalues and Their Use as Target Signatures
 The Inverse Medium Problem
 The Inverse Medium Problem for Acoustic Waves
 Uniqueness
 Iterative Solution Methods
 Decomposition Methods
 Sampling Methods
 The Inverse Medium Problem for Electromagnetic Waves
 Remarks on Anisotropic Media
 Numerical Examples
 References
 Index
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The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory. Review of earlier editions: "Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come." SIAM Review, September 1994 "This book should be on the desk of any researcher, any student, any teacher interested in scattering theory." Mathematical Intelligencer, June 1994.
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The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.
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This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. The second edition includes material on Newton's method for the inverse obstacle problem, an elegant proof of uniqueness for the inverse medium problem, a discussion of the spectral theory of the far field operator and a method for determining the support of an inhomogeneous medium from far field data.
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QC243.3 .S3 C65 2019  Unknown 