978-1-84265-714-0 Publication Year: 2012
Pages: 446 Binding: Hard Back
About the book
GREENíS FUNCTION IN CONDENSED MATTER PHYSICS introduces in detail the basic theories of the commonly-used monomer and multi-body Green function in condensed matter physics. It introduces the Feynman graphic technique and equation of motion method regarding multi-body Green function, mainly in the aspect of weak coupling superconductor, Heisenberg magnetic system and mesoscopic transport. The book also explains the concepts and deduces the formulas in great details. It is very learner-friendly with its content level going gradually from being easy to being difficult.
Part I: Greenís Functions in Mathematical Physics - Time-Independent Greenís Functions / Time-dependent Greenís Functions / Part II: One-Body Greenís Functions - Physical Significance of One-Body Greenís Functions / Greenís Functions and Perturbation Theory / Greenís Functions for Tight-Binding Hamiltonians / Single Impurity Scattering / Extension Theory for Lattice Greenís Functions / Part III: Many-Body Greenís Functions - Field Operators and Three Pictures / Definition and Properties of Many-Body Greenís Functions / The Diagram Technique for Zero-Temperature Greenís Functions / Definition and Properties of Matsubara Greenís Functions / Diagram Technique for the Matsubara Greenís Functions / Three Approximation Schemes of the Diagram Technique / Linear Response Theory / The Equation of Motion Technique for the Greenís Functions / Magnetic Systems Described by Heisenberg Model / The Greenís Functions for Boson Systems with Condensation / Superconductors with Weak Interaction Between Electrons / Nonequilibrium Greenís Functions / Electronic Transport through a Mesoscopic Structure / Appendixes / Index.
Postgraduate Students, Researchers and Teachers