Semiclassical theory for many-body fermionic systems
Abstract
We present a treatment of many-body fermionic systems that facilitates an expression of well-known quantities in a series expansion inħ. The ensuing semiclassical result contains, to a leading order of the response function, the classical time correlation function of the observable followed by the Weyl-Wigner series; on top of these terms are the periodic-orbit correction terms. The treatment given here starts from linear response assumption of the many-body theory and in its connection with semiclassical theory, it assumes that the one-body quantal system has a classically chaotic dynamics. Applications of the framework are also discussed.
- Publication:
-
Pramana
- Pub Date:
- February 1997
- DOI:
- 10.1007/BF02845659
- arXiv:
- arXiv:cond-mat/9609187
- Bibcode:
- 1997Prama..48..503G
- Keywords:
-
- Fermionic systems;
- Weyl-Wigner series;
- Condensed Matter;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 18 pages, TeX