Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited

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André Voros This is my paper

classification math-phmath.MPmath.SPquant-ph

keywords exactfunctionshomogeneousrulesspectralzetamainlymethod

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We survey sum rules for spectral zeta functions of homogeneous 1D Schr\"odinger operators, that mainly result from the exact WKB method.

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Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models
hep-th 2026-08 conditional novelty 5.0 of 10

Partition functions and zeta functions of homogeneous Hermitian and PT-symmetric oscillators are computed from contour integrals of the ODE/IM counting function a(E) obtained from the Destri-de Vega equation.
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physics.ins-det 2025-08 unverdicted novelty 4.0 of 10

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