导语

  

内容提要

  

    李有泉、吕丽花主编的《量子力学中级教程(英文版)》通过诱导学生体会量子力学从非相对论形式到相对论形式的发展，学习Dirac方程与电子的内禀自旋，进而引入密度矩阵的概念，介绍量子纠缠和量子相干、量子信息和计算的基本概念，最后介绍几种在物理学科前沿常用的近似方法。

1 Relativistic Theory and Electron Spin
  1.1 Dirac Equation
    1.1.1 Attempts for a Relativistic Theory
    1.1.2 Physics Implied in Dirac Equation
    1.1.3 Massless Dirac Particles
  1.2 Scattering by Step Potential and Klein Parado
  1.3 Non—relativistic Limit
    1.3.1 Pauli Equation.
    1.3.2 Spin—orbit Coupling
  1.4 Spin—orbit Coupling in Solid Materials
    1.4.1 Rashba Spin—orbit Coupling
    1.4.2 Spin Current and Spin—related Force
2 Density Matrix and Quantum Coherence
  2.1 Pure and Mixed Spin States
  2.2 The Density Matrix
  2.3 Quantum Coherence
    2.3.1 Quantum Beat
    2.3.2 Double—slit Interference
  2.4 Time Evolution of Mixed States
    2.4.1 Liouville Equation
    2.4.2 Reduced Density Matrix
3 Utilizing Quantum States
  3.1 Schmidt Decomposition
  3.2 Entangled States
  3.3 Von Neumann Measurement and EPR Paradox
  3.4 Quantum Teleportation
  3.5 Some Concepts for Quantum Computation
4 Phase Playing a Role
  4.1 Aharonov—Bohm Effect
  4.2 Motion in Periodic Potentials and Band Structure
    4.2.1 Bloch Theorem and Band Structure
    4.2.2 Some Simple Examples
  4.3 Adiabatic Theorem
  4.4 Berry Phase
5 Approximation Methods
  5.1 Variational Approach
    5.1.1 The Variational Principle
    5.1.2 Ground State of Helium Atom
  5.2 Born—Oppenheimer Approximation
    5.2.1 Hydrogen Molecular Ion
    5.2.2 Hydrogen Molecule
  5.3 Mean Field Approach
    5.3.1 Hartree Self-consistent—field Approach
    5.3.2 Hartree—Fock Approach
  5.4 Other Approximations
    5.4.1 Thomas—Fermi Approximation
    5.4.2 The WKB Approximation
Index