Quantum Mechanics

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 Laloë
• 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 Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège 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 Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure 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.

  Autorentext
  Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège 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 Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure 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.

  Inhalt
  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 Schrödinger 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