Quantum Mechanics

Volume II of the unrivalled textbook contains the quantum theory of scattering by a potential, addition of angular momenta, time-independent and time-dependent perturbation theory, and systems of identical particles. The new edition also includes a new complement in order to treat an important subject that was missing in the previous editions: the linear response theory, very often used in many fields of physics such as atomic physics and quantum optics, condensed matter physics, and nuclear physics.

 

The textbook retains its typical style also in the third 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: 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 170 worked examples plus exercises

AN ELEMENTARY APPROACH TO THE QUANTUM THEORY OF SCATTERING BY A POTENTIAL
Introduction
Stationary Scattering States. Calculation of the Cross Section
Scattering by a Central Potential. Method of Partial Waves
Complements
 
ELECTRON SPIN
Introduction
Special Properties of Angular Moment 1/2
Non-Relativistic Description of a Spin 1/2 Particle
Complements
 
ADDITION OF ANGULAR MOMENTA
Introduction
Addition of Two Spin 1/2's. Elementary Method
Addition of Two Arbitrary Angular Momenta. General Methods
Complements
 
STATIONARY PERTURBATION THEORY
Description of the Method
Perturbation of a Non-Degenerate Level
Perturbation of a Degenerate Level
Complements
 
AN APPLICATION OF PERTURBATION THEORY: THE FINE AND HYPERFINE STRUCTURE OF THE HYDROGEN ATOM
Introduction
Additional Terms in the Hamiltonian
The Fine Structure of the N=2 Level
The Hyperfine Structure of the N=1 Level
The Zeeman Effect of the Hyperfine Structure of the 1s Ground State
Complements
 
APPROXIMATION METHODS FOR TIME-DEPENDENT PROBLEMS
Statement of the Problem
Approximate Solution of the Schrödinger Equation
An Important Special Case: Sinusoidal or Constant Perturbation
Complements
 
SYSTEMS OF IDENTICAL PARTICLES
Statement of the Problem
Permutation Operators
The Symmetrization Postulate
Discussion
Complements
 
APPENDICES
Fourier Series and the Fourier Transform
The Dirac "Function"
The Lagrangian and Hamiltonian in Classical Mechanics

• By (author) Claude Cohen-Tannoudji
• By (author) Franck Laloe
• Translated by Nicole Ostrowsky
• Translated by Daniel Ostrowsky
• By (author)