Semiclassical theory for many-body fermionic systems |
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Authors: | Pierre Gaspard Sudhir R Jain |
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Institution: | (1) Faculté des Sciences and Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine C.P. 231, Boulevard du Triomphe, B-1050 Brussels, Belgium |
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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. |
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Keywords: | Fermionic systems Weyl-Wigner series |
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