title: Symmetry-adapted correlation function for semiclassical quantization.
abstract: We study a very simple method to incorporate quantum-mechanical symmetries, including the permutational symmetry on an equal footing with spatial symmetries, into the semiclassical calculation of correlation functions. This method is applied to the calculation of energy spectra to verify its validity by reproducing quantum energy levels for systems of bosons (symmetrized) and fermions (antisymmetrized). The mechanism of how the phase-space structure of classical dynamics is linked with the relevant quantum symmetry is discussed.
authors.affiliation: Department of Basic Science, Graduate School of Arts and Sciences, University of Tokyo, Komaba, Japan.
authors.forename: Koji
authors.initials: K
authors.lastname: Hotta
authors.forename: Kazuo
authors.initials: K
authors.lastname: Takatsuka