Quantum Mechanics

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.

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