索书号：O413.1/C678（MIT）
QUANTUM MECHANICS
Contents
Chapter I waves and particals . introduction to the fundamental ideas 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
Chapter II THE MATHEMATICAL TOOLS OF QUANTUM MECHANICS
One-partical 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
Chapter III the postulates of quantum mechanics
Introduction
Statement of the postulates
The physical interpretation of the postulates concerning observables and their measurement
The physical implications of the schrodinger equation
The superposition principle and physical predictions
Chapter IV application of postulates to simple cases: spin 1/2 and two-level systems
Spin 1/2 partical: quantization of the angular momentum
Illustration of the postulates in the case of a sin 1/2
General study of two-level systems
Chapter V the one-dimensional harmonic oscillator
Introduction
Eigenvalues of the Hamiltonian
Eigenstates of the Hamiltonian
Discussion
Chapter VI general properties of angular momentum id=n quantum mechanics
Introduction: the importance of angular momentum
Commutation relations characteristics of angular momentum
General theory of angular momentum
Application to orbital angular momentum
Chapter VII partical 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
Chapter VIII 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
Chapter IX electron spin
Introduction of electron spin
Special properties of angular momentum 1/2
Non-relativistic description of a spin 1/2 partical
Chapter X addition of angular momenta
Introduction
Addition of two spin 1/2 elementary method
Addition of two arbitrary angular momenta general method
Chapter XI stationary perturbation theory
Description of the method
Perturbation of a non-degenerate level
Perturbation of a degenerate level
Chapter XII 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
Chapter XIII approximation methods for time-dependent problems
Statement of the problem
Approximate solution of the schrodinger equation
An important special case； sinusoidal constant perturbation
Chapter XIV systems of identical particals
Statement of the problem
Permutation operators
The symmetrizationab postulate
discussion
Abstract
This book is especially designed to eliminate the difficulty which the students have while separating essential underlying principles from the specific examples to which these principles have historically been applied. 14chapters, augmented by 14 “complementary sections,” provideclarity of organization, careful attention to pedagogical details, and a wealth of topics and examples that allow physics professors to tailor courses to meet students’ specific needs.