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• W4318015087 abstract "Abstract We derive the Gutzwiller’s trace formula by considering the time-evolution operator of the Hamiltonian which describes an N -dimensional time-dependent generalized harmonic oscillator with general force terms, where the time-evolution operator is composed of metaplectic and Weyl-Heisenberg operators. The Hamiltonian is constructed by expanding a wave packet quadratically in position and momentum operators around a reference trajectory. Using the explicit form of the metaplectic operator recently obtained in (2022, J. Korean Phys. Soc. 80 , 95), we give the proof of the well known properties of the metaplectic operator, and using those properties, we derive Gutzwiller’s trace formula and investigate the Maslov index appearing in the formula." @default.
• W4318015087 created "2023-01-26" @default.
• W4318015087 creator A5081309787 @default.
• W4318015087 date "2023-02-07" @default.
• W4318015087 modified "2023-09-24" @default.
• W4318015087 title "Metaplectic operator approach to Gutzwiller’s trace formula" @default.
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• W4318015087 doi "https://doi.org/10.1088/1402-4896/acb624" @default.
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