更新时间:2020-03-23 15:00:19
封面
版权信息
Preface
Reprint of the Preface to Lectures on Quantum Mechanics
Chapter 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 Para-dox
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
Chapter 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
Chapter 3 Utilizing Quantum States
3.1 Schmidt Decomposition
3.2 Entangled States
3.3 Von Neumann Measurement and EPR Para-dox
3.4 Quantum Teleportation
3.5 Some Concepts for Quantum Computation
Chapter 4 Phase Playing a Role
4.1 Aharonov-Bohm Effect
4.2 Motion in Periodic Potentials and Band Struc-ture
4.2.1 Bloch Theorem and Band Structure
4.2.2 Some Simple Examples
4.3 Adiabatic Theorem
4.4 Berry Phase
Chapter 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