Modern Lectures on Quantum Mechanics （量子力学中级教程）

5.4.2 The WKB Approximation

5.4.1 Thomas-Fermi Approximation

5.4 Other Approximations

5.3.2 Hartree-Fock Approach

5.3.1 Hartree Self-consistent-field Approach

5.3 Mean Field Approach

5.2.2 Hydrogen Molecule

5.2.1 Hydrogen Molecular Ion

5.2 Born-Oppenheimer Approximation

5.1.2 Ground State of Helium Atom

5.1.1 The Variational Principle

5.1 Variational Approach

Chapter 5 Approximation Methods

4.4 Berry Phase

4.3 Adiabatic Theorem

4.2.2 Some Simple Examples

4.2.1 Bloch Theorem and Band Structure

4.2 Motion in Periodic Potentials and Band Struc-ture

4.1 Aharonov-Bohm Effect

Chapter 4 Phase Playing a Role

3.5 Some Concepts for Quantum Computation

3.4 Quantum Teleportation

3.3 Von Neumann Measurement and EPR Para-dox

3.2 Entangled States

3.1 Schmidt Decomposition

Chapter 3 Utilizing Quantum States

2.4.2 Reduced Density Matrix

2.4.1 Liouville Equation

2.4 Time Evolution of Mixed States

2.3.2 Double-slit Interference

2.3.1 Quantum Beat

2.3 Quantum Coherence

2.2 The Density Matrix

2.1 Pure and Mixed Spin States

Chapter 2 Density Matrix and Quantum Coherence

1.4.2 Spin Current and Spin-related Force

1.4.1 Rashba Spin-orbit Coupling

1.4 Spin-orbit Coupling in Solid Materials

1.3.2 Spin-orbit Coupling

1.3.1 Pauli Equation

1.3 Non-relativistic Limit

1.2 Scattering by Step Potential and Klein Para-dox

1.1.3 Massless Dirac Particles

1.1.2 Physics Implied in Dirac Equation

1.1.1 Attempts for a Relativistic Theory

1.1 Dirac Equation

Chapter 1 Relativistic Theory and Electron Spin

Reprint of the Preface to Lectures on Quantum Mechanics

Preface

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封面

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