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More Green’s Functions, Equilibrium and Otherwise, and Their Applications

  • Alexandre ZagoskinEmail author
Chapter
Part of the Graduate Texts in Physics book series (GTP)

Abstract

Equilibrium Green’s functions at finite temperature. Formal analogy between the equilibrium statistical operator and the evolution operator in imaginary time. Temperature (Matsubara) Green’s functions and their relation to equilibrium Green’s functions. Diagram technique for the temperature Green’s functions (Matsubara formalism). Linear response theory, Kubo formulas, and fluctuation-dissipation theorem. Nonequilibrium Green’s functions. Keldysh formalism: time-ordering along the Keldysh contour and diagram technique for matrix Green’s functions. Quantum kinetic equation and its quasiclassical limit. Quantum transport: Landauer formula and conductance quantization. Method of tunneling Hamiltonian.

References

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of PhysicsLoughborough UniversityLeicestershireUK

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