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- Basdevant, J. L. (Jean-Louis) author.
- Third edition. - Cham : Springer, [2023]
- Description
- Book — 1 online resource (xvii, 482 pages) : illustrations (some color).
- Summary
-
- Perception and Imagination.- Quantum Phenomena.- Wave Function, Schroedinger Equation.- Physical Quantities and Measurement.- Energy, Quantization and Quantum Tunnelling.- Principles of Quantum Mechanics.- Principles of Quantum Mechanics.
- (source: Nielsen Book Data)
- 3.6 Momentum Probability Law
- 3.6.1 Free Particle
- 3.6.2 General Case
- 3.7 Heisenberg Uncertainty Relations
- 3.8 Controversies and Paradoxes
- 3.9 Appendix. Dirac δ ``Function'', Distributions
- 3.10 Appendix: Fourier Transformation
- 3.11 Exercises
- 4 Physical Quantities and Measurement
- 4.1 Statement of the Problem
- 4.1.1 Physical Quantities
- 4.1.2 Position and Momentum
- 4.2 Observables
- 4.2.1 Position and Momentum Observables
- 4.2.2 Correspondence Principle
- 4.2.3 Historical Landmarks
- 4.3 A Counterexample of Einstein and Its Consequences
(source: Nielsen Book Data)
- Bertlmann, Reinhold A.
- Oxford ; New York : Oxford University Press, [2023]
- Description
- Book — 1 online resource.
- Khrennikov, A. I͡U. (Andreĭ I͡Urʹevich), 1958- author.
- Cham, Switzerland : Springer, 2023.
- Description
- Book — 1 online resource (378 pages) : illustrations (colour).
- Summary
-
- Interplay Between Classical and Quantum Probability
- Quantum Formalism for Decision Making
- Classical Versus Quantum Rationality
- What is Life? Open Quantum Systems Approach
- Order-stability in Complex Biosystems
- Brain Functioning
- Emotional Coloring of Conscious Experiences
- Quantum Instruments and Positive Operator Valued Measures
- Question Order and Response Replicability Eects
- Psychological Eects and QQ-equality.
5. Quantum tools for macroscopic systems [2023]
- Bagarello, Fabio, 1964- author.
- Cham : Springer, 2023.
- Description
- Book — 1 online resource (xii, 114 pages) : illustrations (some color).
- Summary
-
- Introduction
- Preliminaries
- Asymptotic Equilibria
- Epidemics
- Spreading of Information
- Population Dynamics
- Political Dynamics
- Decision Making
- Perspectives and Conclusions.
6. Some unusual topics in quantum mechanics [2023]
- Sharan, Pankaj, author.
- Second edition. - Cham : Springer, 2023.
- Description
- Book — 1 online resource (xxii, 314 pages) : illustrations.
- Summary
-
- 1st edition: Position operators of non-relativistic quantum mechanics
- A bundle picture of quantum mechanics
- A beam of particles = a plane wave?
- Star-product formulation of quantum mechanics
- Can there be a non-linear quantum mechanics?
- Interaction = exchange of quanta
- Proof of Wigner's theorem. 2nd edition new topics: A very brief history of Matrix mechanics
- Hydrogen atom and O(4)
- Minimum Uncertainty States
- Time Energy Uncertainty Relations?
- Force = curvature in Quantum Mechanics too!
- What is an essentially self-adjoint operator?
- Time re-parametrization in path-integrals
- What are rigged Hilbert spaces?
- Relativistic configuration states, Dirac and Weyl equations.
7. Advanced topics in quantum mechanics [2022]
- Marino, Marcos, author.
- Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022
- Description
- Book — 1 online resource
- Summary
-
- Preface
- 1. Propagator and resolvent
- 2. The WKB method and non-perturbative effects
- 3. The phase space formulation of quantum mechanics
- 4. The path integral formulation of quantum mechanics
- 5. Metastable states
- Appendix A: Asymptotic series and Borel resummation
- Appendix B: Special functions
- Appendix C: Gaussian integration
- References
- Index.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
8. Foundations of quantum mechanics [2022]
- Tumulka, Roderich, author.
- Cham, Switzerland : Springer, 2022.
- Description
- Book — 1 online resource (xvii, 468 pages) : illustrations.
- Summary
-
- Intro
- Preface
- Contents
- Acronyms
- 1 Waves and Particles
- 1.1 Overview
- 1.2 The Schrödinger Equation
- 1.3 Unitary Operators in Hilbert Space
- 1.3.1 Existence and Uniqueness of Solutions of the Schrödinger Equation
- 1.3.2 The Time Evolution Operators
- 1.3.3 Unitary Matrices and Rotations
- 1.3.4 Inner Product
- 1.3.5 Abstract Hilbert Space
- 1.4 Classical Mechanics
- 1.4.1 Definition of Newtonian Mechanics
- 1.4.2 Properties of Newtonian Mechanics
- 1.4.3 Hamiltonian Systems
- 1.5 The Double-Slit Experiment
- 1.5.1 Classical Predictions for Particles and Waves
- 1.5.2 Actual Outcome of the Experiment
- 1.5.3 Feynman's Discussion
- 1.6 Bohmian Mechanics
- 1.6.1 Definition of Bohmian Mechanics
- 1.6.2 Properties of Bohmian Mechanics
- 1.6.3 Historical Overview
- 1.6.4 Equivariance
- 1.6.5 The Double-Slit Experiment in Bohmian Mechanics
- 1.6.6 Delayed-Choice Experiments
- Afshar's Experiment
- Exercises
- References
- 2 Some Observables
- 2.1 Fourier Transform and Momentum
- 2.1.1 Fourier Transform
- 2.1.2 Momentum
- 2.1.3 Momentum Operator
- 2.1.4 Tunnel Effect
- 2.1.5 External Magnetic Field
- 2.2 Operators and Observables
- 2.2.1 Heisenberg's Uncertainty Relation
- 2.2.2 Limitation to Knowledge
- 2.2.3 Self-Adjoint Operators
- 2.2.4 The Spectral Theorem
- 2.2.5 Born's Rule
- 2.2.6 Conservation Laws in Quantum Mechanics
- 2.2.7 The Dirac Delta Function
- 2.3 Spin
- 2.3.1 Spinors and Pauli Matrices
- 2.3.2 The Pauli Equation
- 2.3.3 The Stern-Gerlach Experiment
- 2.3.4 Bohmian Mechanics with Spin
- 2.3.5 Is an Electron a Spinning Ball?
- 2.3.6 Are There Actual Spin Values?
- 2.3.7 Many-Particle Systems
- 2.3.8 Representations of SO(3)
- 2.3.9 Inverted Stern-Gerlach Magnet and Contextuality
- Exercises
- 3.3.4 Primitive Ontology
- 3.3.5 How GRW Theory Solves the Measurement Problem
- 3.3.6 Empirical Tests
- 3.3.7 The Need for a Primitive Ontology
- 3.4 The Copenhagen Interpretation
- 3.4.1 Two Realms
- 3.4.2 Elements of the Copenhagen View
- Positivism
- Purported Impossibility of Non-paradoxical Theories
- Completeness of the Wave Function
- Language of Measurement
- Narratives, But No Serious Ones
- 3.4.3 Complementarity
- 3.4.4 Reactions to the Measurement Problem
- 3.4.5 The Transactional Interpretation
- 3.5 Many Worlds
- 3.5.1 Schrödinger's Many-Worlds Theory
(source: Nielsen Book Data)
9. Invitation to quantum mechanics [2022]
- Styer, Daniel F., author.
- Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2022]
- Description
- Book — 1 online resource (x, 289 pages) : illustrations
- Summary
-
- 1. "Something Isn't Quite Right." 1.1. Light in thermal equilibrium: Blackbody radiation
- 1.2. Photoelectric effect
- 1.3. Wave character of electrons
- 1.4. How does an electron behave?
- 1.5. Quantization of atomic energies
- 1.6. Quantization of magnetic moment
- 2. What Is Quantum Mechanics About? 2.1. Quantization
- 2.2. Interference
- 2.3. Aharonov-Bohm effect
- 2.4. Light on the atoms
- 2.5. Entanglement
- 2.6. Quantum cryptography
- 2.7. What is a qubit?
- 3. Forging Mathematical Tools. 3.1. What is a quantal state?
- 3.2. Amplitude
- 3.3. Reversal-conjugation relation
- 3.4. Establishing a phase convention
- 3.5. How can I specify a quantal state?
- 3.6. States for entangled systems
- 3.7. Are states "real"?
- 3.8. What is a qubit?
- 4. The Quantum Mechanics of Position
- 4.1. Probability and probability density: One particle in one dimension
- 4.2. Probability amplitude
- 4.3. How does wavefunction change with time?
- 4.4. Wavefunction: Two particles in one or three dimensions
- 4.5. Solving the Schrodinger time evolution equation for the infinite square well
- 4.6. What did we learn by solving the Schrodinger time evolution equation for the infinite square well?
- 4.7. Other potentials
- 4.8. Energy loss
- 4.9. Mean values
- 4.10. The classical limit of quantum mechanics
- 4.11. Transitions induced by light
- 4.12. Position plus spin
- 5. Solving the Energy Eigenproblem
- 5.1. Sketching energy eigenfunctions
- 5.2. Scaled quantities
- 5.3. Numerical solution of the energy eigenproblem
- 6. Identical Particles
- 6.1. Two or three identical particles
- 6.2. Symmetrization and antisymmetrization
- 6.3. Consequences of the Pauli principle
- 6.4. Consequences of the Pauli principle for product states
- 6.5. Energy states for two identical, noninteracting particles
- 6.6. Spin plus space, two electrons
- 6.7. Spin plus space, three electrons, ground state
- 7. Atoms
- 7.1. Central potentials in two dimensions
- 7.2. Central potentials in three dimensions
- 7.3. The hydrogen atom
- 7.4. The helium atom
- 7.5. The lithium atom
- 7.6. All other atoms
- 7.7. The periodic table
- 8. The Vistas Open to Us
- Appendix A. Significant Figures
- Appendix B. Dimensions
- Appendix C. Complex Arithmetic
- Appendix D. Problem-Solving Tips and Techniques
- Appendix E. Catalog of Misconceptions
- Index
- Online
-
- World Scientific Access limited to 1 user
- Google Books (Full view)
10. Lectures on Quantum Mechanics and Attractors [2022]
- Komech, Alexander.
- Singapore ; Hackensack, NJ : World Scientific, [2022]
- Description
- Book — 1 online resource
- Summary
-
This book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations.The book is aimed at graduate and advanced undergraduate students in mathematics, physics, and chemistry, as well as at the readers specializing in quantum mechanics, theoretical physics and quantum chemistry, and applications to solid state physics, optics, superconductivity, and quantum and high-frequency electronic devices.The book utilizes elementary mathematical derivations. The presentation assumes only basic knowledge of the origin of Hamiltonian mechanics, Maxwell equations, calculus, Ordinary Differential Equations and basic PDEs. Key topics include the Schroedinger, Pauli, and Dirac equations, the corresponding conservation laws, spin, the hydrogen spectrum, and the Zeeman effect, scattering of light and particles, photoelectric effect, electron diffraction, and relations of quantum postulates with attractors of nonlinear Hamiltonian PDEs. Featuring problem sets and accompanied by extensive contemporary and historical references, this book could be used for the course on Quantum Mechanics and is also suitable for individual study.
(source: Nielsen Book Data)
- Zwiebach, Barton, 1954- author.
- Cambridge, MA : The MIT Press, [2022]
- Description
- Book — 1 online resource
12. Quantum mechanics : an enhanced primer [2022]
- Reed, Bruce Cameron.
- Second edition. - Cham : Springer, 2022.
- Description
- Book — 1 online resource
- Summary
-
- Foundations.- Schroedinger's equation.- Schroedinger's Equation in One Dimension.- Operators, Expectation Values, and Various Quantum Theories.- The Harmonic Oscillator.- Schroedinger's equation in Three Dimensions and the Quantum Theory of Angular Momentum.- Central Potentials.
- (source: Nielsen Book Data)
- 5.6 Raising and Lowering Operators
- Reference
- 6 Schrödinger's Equation in Three Dimensions and the Quantum Theory of Angular Momentum
- 6.1 Separation of Variables: Cartesian Coordinates
- 6.2 Spherical Coordinates
- 6.3 Angular Momentum Operators
- 6.4 Separation of Variables in Spherical Coordinates: Central Potentials
- 6.5 Angular Wavefunctions and Spherical Harmonics
- 6.5.1 Solution of the Φ Equation
- 6.5.2 Solution of the Θ Equation
- 6.5.3 Spherical Harmonics
- References
- 7 Central Potentials
- 7.1 Introduction
- 7.2 The Infinite Spherical Well
(source: Nielsen Book Data)
- Marsh, Gerald E., author.
- New Jersey : World Scientific, [2022]
- Description
- Book — 1 online resource
- Singapore : Springer, 2022.
- Description
- Book — 1 online resource
- Summary
-
- Part I: Introduction.-
- 1. Quantum Science: Interdisciplinary Research Between Chemistry and Physics.- Part II: Quantum Electronic Structure.-
- 2. Chracteristic Fermi Surface Properties in f-electron Systems.-
- 3. Quantum Chemistry in Battery Materials.-
- 4. Minimum structures of water clusters (H2O)n.- Part III: Dynamics and Chemical Reaction.-
- 5. The new reaction scheme "Transition Surface Dynamics (TSD)" for chemical and photodissociation reactions: A key to unveil the roaming mechanisms.-
- 6. Molecular Dynamics in Quantum Biological System.- Part IV: Quantum Theory of Angular Momentum.-
- 7. Elements of Theory of Angular Moments: Molecular Spectroscopy and Quantization Methods of a Free Electromagnetic Field.-
- 8. Radiation and Absorption of Photons in Quantum Transitions.- Part V: Particle Physics and Cosmology.-
- 9. Solution for Lithium Problem from Supersymmetric Standard Model.-
- 10. Dark Matter Chemistry.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Beyer, Horst.
- Cham : Springer, 2022.
- Description
- Book — 1 online resource (84 p.).
- Summary
-
- Introduction.- The Classical Mechanical System.- The Corresponding Quantum System.- Appendix.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Zuiruoshouyueshudianzililunjiyingyong. English
- Zheng, Nengwu, author.
- Singapore : Springer, 2022.
- Description
- Book — 1 online resource (1 volume) : illustrations (black and white).
- Summary
-
- The basics of quantum mechanics for the Weakest Bound Electron (WBE) theory.- The Weakest Bound Electron theory (I).- The Weakest Bound Electron theory (II).- The application of the WBE theory.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
17. Foundations of quantum mechanics [2021]
- Adlam, Emily, author.
- Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2021
- Description
- Book — 1 online resource
- Summary
-
- 1. Introduction
- 2. Preliminaries
- 3. Non-locality
- 4. Contextuality
- 5. The measurement problem
- 6. Further topics
- 7. The future of quantum foundations.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Helgoland. English
- Rovelli, Carlo, 1956- author.
- First North American edition - New York : Riverhead Books, 2021
- Description
- Book — 1 online resource (xviii, 146 pages) : illustrations
- Summary
-
- Looking into the abyss
- A strangely beautiful interior
- A curious bestiary of extreme ideas
- Is it possible that something is real in relation to you but not in relation to me?
- The web of relations that weaves reality
- The unambiguous description of an object includes the objects to which it manifests itself
- "For nature it is a problem already solved"
- But is it really possible?
- Online
-
- ProQuest Ebook Central Access limited to 1 user
- Google Books (Full view)
- Helgoland. English
- Rovelli, Carlo, 1956- author.
- First North American edition - New York : Riverhead Books, 2021
- Description
- Book — xviii, 233 pages : illustrations ; 20 cm
- Summary
-
- Looking into the abyss
- A strangely beautiful interior
- A curious bestiary of extreme ideas
- Is it possible that something is real in relation to you but not in relation to me?
- The web of relations that weaves reality
- The unambiguous description of an object includes the objects to which it manifests itself
- "For nature it is a problem already solved"
- But is it really possible?
- Online
20. Introduction to quantum mechanics [2021]
- Walecka, John Dirk, 1932- author.
- Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2021]
- Description
- Book — 1 online resource (xi, 160 pages) : illustrations
- Summary
-
The author has published two texts on classical physics, Introduction to Classical Mechanics and Introduction to Electricity and Magnetism, both meant for initial one-quarter physics courses. The latter is based on a course taught at Stanford several years ago with over 400 students enrolled. These lectures, aimed at the very best students, assume a good concurrent course in calculus; they are otherwise self-contained. Both texts contain an extensive set of accessible problems that enhances and extends the coverage. As an aid to teaching and learning, the solutions to these problems have now been published in additional texts.The present text completes the first-year introduction to physics with a set of lectures on Introduction to Quantum Mechanics, the very successful theory of the microscopic world. The Schroedinger equation is motivated and presented. Several applications are explored, including scattering and transition rates. The applications are extended to include quantum electrodynamics and quantum statistics. There is a discussion of quantum measurements. The lectures then arrive at a formal presentation of quantum theory together with a summary of its postulates. A concluding chapter provides a brief introduction to relativistic quantum mechanics. An extensive set of accessible problems again enhances and extends the coverage.The goal of these three texts is to provide students and teachers alike with a good, understandable, introduction to the fundamentals of classical and quantum physics.
(source: Nielsen Book Data)
- Online
-
- World Scientific Access limited to 1 user
- Google Books (Full view)
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