Novel Method for Calculating the Path Integral for the Partition Function of a Many-Fermion System

Autor:	A. V. Gorokhov, J. L. Birman
Rok vydání:	1991
Předmět:	Physics Partition function (statistical mechanics) symbols.namesake Grassmannian Path integral formulation symbols General Physics and Astronomy Coherent states Electronic structure Fermion Hamiltonian (quantum mechanics) Separable space Mathematical physics
Zdroj:	Europhysics Letters (EPL). 15:615-620
ISSN:	1286-4854 0295-5075
DOI:	10.1209/0295-5075/15/6/009
Popis:	We introduce a Grassmannian version of the Stratonovich-Hubbard transformation and derive a new functional-integral representation for the grand partition function F(β) of many-fermion N-particle systems. A new separable form for Z(β) is found using both a disentangling method for "the evolution operator" and the dynamical super-Weyl group SW(N). Employing fermionic coherent states the relevant trace is calculated exactly. The case of a separable potential is analyzed in some detail.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b4a3a66f6bd0920cc4cfdf34bf1abfe1 https://doi.org/10.1209/0295-5075/15/6/009 Zobrazit plný text záznamu