9- Retarded and advanced Green's functions - Course on Quantum Many-Body Physics
Автор: Luis Gregorio Dias
Загружено: 2020-09-15
Просмотров: 15368
Description:
Welcome to the course on Quantum Theory of Many-Body systems in Condensed Matter at the Institute of Physics - University of Sao Paulo (IF-USP).
In this class, we will cover:
Single-particle Green’s functions.
Retarded and advanced Green’s functions.
Many-particle Green’s functions
Lehmann representation.
Nice paper by Odashima et al on the basics of Green's functions: https://arxiv.org/abs/1604.02499
0:00 Introduction
1:03 Single-particle Green's functions (time-independent)
11:11 Lippmann-Schwinger's Equation
37:00 Single-particle Green's functions (time-dependent)
40:24 Retarded Green's functions
48:25 Many-particle Green's functions
50:50 Advanced, Greater and Lesser Green's functions
57:11 Lehmann representation
1:14:39 Spectral Function
ERRATUM: At 52:40 , it should be + for bosons and - for fermions.
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