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arXiv · 2408.04239

Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models

Fumio Hiroshima·Tomoyuki Shirai
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Abstract

The non-commutative harmonic oscillators (NcHO) and 2p-quantum Rabi models (2pQRM) are extensions of harmonic oscillators. The purpose of this paper is to give a relationship between NcHO and 2pQRM, and the fiber decomposition of NcHO by 2pQRM is shown. We also construct Feynman-Kac formulas of NcHO and 2pQRM. Then asymptotic behaviors of the spectral zeta function of 2pQRM is considered.

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Fumio Hiroshima, Tomoyuki Shirai. 2024-08-08. Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models. https://arxiv.org/abs/2408.04239

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