Many-Particle Physics pp 65-107 | Cite as

# Green’s Functions at Zero Temperature

## Abstract

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 ^{4}He.

## Keywords

Zero Temperature Nonzero Temperature Heisenberg Representation Connected Diagram Destruction Operator## Preview

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## References

- 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 - Auerbach, A.,
*Interacting Electronics and Quantum Magnetism*( Springer-Verlag, New York, 1994 ).CrossRefGoogle Scholar - Doniach, S., and E. H. Sondheimer,
*Green’s Functions for Solid State Physicists*( Benjamin, Reading, Mass., 1974 ).Google Scholar - Fetter, A. L., and J. D. Walecka,
*Quantum Theory of Many Particle Systems*( McGraw-Hill, New York, 1971 ).Google Scholar - Gross, E. K. U., E. Runge, and O. Heinonen,
*Many-Particle Theory*( Hilger, New York, 1991 ).MATHGoogle Scholar - Mattock, R. D.,
*A Guide to Feynman Diagrams in the Many Body Problem*( McGraw-Hill, New York, 1967 ).Google Scholar