Green's Function and Unitary States in Many Fermion Systems

Solomon, Allan I. and Birman, Joseph L. (1985) Green's Function and Unitary States in Many Fermion Systems. (Preprint)

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Abstract

We discuss a class of mean field hamiltonians for interacting many-fermion systems characterized by their dynamical algebras. For such systems one can easily derive the finite temperature Green's function in an algebraically explicit way. This generalized Green's function G is well-known in the case of superconductivity, for example, where it possesses the pseudo-unitary property GG^+ = Ω^(-2)I (where Ω^(-2) is a scalar). In the case of Helium Three, however, this property of the Green's function is not automatic. By analogy with this latter case we define unitary systems (or the states of such systems) as those which satisfy this pdeudo-unitary constraint. Such constrained systems are particularly easy to treat both theoretically and experimentally; and we explore some of the consequences of unitarity in the cases of coexisting superconducting and density wave systems.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 06 Jul 2018 10:44
Last Modified: 24 Jul 2018 11:22
URI: http://dair.dias.ie/id/eprint/857

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