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Semiclassical theory for many-body Fermionic systems

Pierre Gaspard·Sudhir R. Jain
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Abstract

We present a treatment of many-body Fermionic systems that facilitates an expression of the well-known quantities in a series expansion of the Planck's constant. 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 makes no assumption of the integrability of classical dynamics underlying the one-body quantal system. Applications of the framework are also discussed.

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Pierre Gaspard, Sudhir R. Jain. 1996-09-19. Semiclassical theory for many-body Fermionic systems. https://doi.org/10.1007/bf02845659

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