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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Gaspard, P., Jain, S.R. Semiclassical theory for many-body fermionic systems. Pramana - J Phys 48, 503–516 (1997). https://doi.org/10.1007/BF02845659
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DOI: https://doi.org/10.1007/BF02845659