Basic concepts, tools, and applications
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Bibliographic Information
Basic concepts, tools, and applications
(Quantum mechanics, v. 1)
Wiley-VCH, c2020
2nd ed
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
COH||19||2-1(2)200040113130
Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
- WAVES AND PARTICLES: INTRODUCTION TO THE FUNDAMENTAL CONCEPTS OF QUANTUM MECHANICS Electromagnetic Waves and Photons Material Particles and Matter Waves Quantum Description of a Particle
- Wave Packets Particle in a Time-Independent Scalar Potential Complements THE MATHEMATICAL TOOLS OF QUANTUM MECHANICS One-Particle Wave Function Space State Space. Dirac Notation Representations in the State Space Eigenvalue Equations. Observables Two Important Examples of Representations and Observables Tensor Product of State Spaces Complements THE POSTULATES OF QUANTUM MECHANICS Introduction Statement of the Postulates The Physical Interpretation of the Postulates The Physical Implications of the Schroedinger Equation The Superposition Principle and Physical Predictions Complements APPLICATION OF THE POSTULATES TO SIMPLE CASES: TWO LEVEL SYSTEMS AND SPIN 1/2 SYSTEMS Spin 1/2 Particle: Quantization of the Angular Momentum Illustration of the Postulates in the Case of a Spin 1/2 General Study of Two-Level Systems Complements THE ONE DIMENSIONAL HARMONIC OSCILLATOR Introduction Eigenvalues of the Hamiltonian Eigenstates of the Hamiltonian Complements GENERAL PROPERTIES OF ANGULAR MOMENTUM IN QUANTUM MECHANICS Introduction: The Importance of Angular Momentum Commutation Relations Characteristic of Angular Momentum General Theory of Angular Momentum Application to Orbital Angular Momentum Complements PARTICLES IN A CENTRAL POTENTIAL. THE HYDROGEN ATOM Stationary States of a Particle in a Central Potential Motion of the Center of Mass and Relative Motion for a System of Two Interacting Particles The Hydrogen Atom Complements
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