Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models
Mathematical Physics
2025-01-31 v5 math.MP
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.
Keywords
Cite
@article{arxiv.2408.04239,
title = {Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models},
author = {Fumio Hiroshima and Tomoyuki Shirai},
journal= {arXiv preprint arXiv:2408.04239},
year = {2025}
}