Part I Green's Functions in Mathematical Physics
Chapter 1 Time-Independent Green's Functions
1.1 Formalism
1.2 Examples
1.2.1 3-dcase
1.2.2 2-dcase
1.2.3 1-dcase
Chapter 2 Time-dependent Green's Functions ~
2.1 First-Order Case of Time-Derivative ~
2.2 Second-Order Case of Time-Derivative
Part II One-Body Green's Functions
Chapter 3 Physical Significance of One-Body Green'sFunctions
3.1 One-Body Green's Functions
3.2 The Free-Particle Case
3.2.1 3-dcase
3.2.2 2-dcase
3.2.3 1-dcase
Chapter 4 Green's Functions and Perturbation Theory
4.1 Time-Independent Case
4.2 Time-Dependent Case
4.3 Application: Scattering Theory (E~0)
4.4 Application: Bound States in Shallow Potential Wells(EGO)
4.4.1 3-d space
4.4.2 2-d space
4.4.3 1-d space
Chapter 5 Green's Functions for Tight-BindingHamiltonians
5.1 Tight-Binding Hamiltonians
5.2 Lattice Green's functions
……