Green’s Functions at Zero Temperature

  • Gerald D. Mahan
Part of the Physics of Solids and Liquids book series (PSLI)


Many-body calculations are often done for model systems at zero temperature. Of course, real experimental systems are never at zero temperature, although they are often at low temperature. Many quantities are not very sensitive to temperature, particularly at low temperature. Zero temperature calculations are useful even for describing real systems. Furthermore, the zero temperature property of a system is an important conceptual quantity—the ground state of an interacting system. A system is often described as its ground state plus its excitations, and the ground state may be deduced from a zero temperature calculation. Many zero temperature calculations have been done to deduce, for example, the ground state of the homogeneous electron gas or the ground state of superfluid 4He.


Zero Temperature Nonzero Temperature Heisenberg Representation Connected Diagram Destruction Operator 
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  1. This reference list contains several books which have excellent descriptions of the material in this chapter. Abrikosov, A. A., L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, N.J., 1963; Pergamon, Elmsford, N.Y., 1965 ).Google Scholar
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Gerald D. Mahan
    • 1
    • 2
  1. 1.University of TennesseeKnoxvilleUSA
  2. 2.Oak Ridge National LaboratoryUSA

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