Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models

Abstract:We develop an ODE/IM-based formulation for the thermal partition function and the spectral zeta function of the homogeneous Hermitian and PT-symmetric oscillators. For both classes of systems, the quantization condition can be expressed using the counting function $a(E)$, which can be solved via the Destri-de Vega equation of the integrable model. We then express the partition function and spectral zeta function as contour integrals involving the counting function, thereby providing a direct bridge between quantum spectral functions and integrable models.

arXiv:2608.06047 [hep-th]

(or arXiv:2608.06047v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2608.06047 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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