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

We survey sum rules for spectral zeta functions of homogeneous 1D Schrödinger operators, that mainly result from the exact Wentzel–Kramers–Brillouin method.

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2023-02, Vol.56 (6), p.64001
Main Author: Voros, André
Format: Article
Language:English
Subjects:
cubic oscillator
exact WKB method
homogeneous quantum oscillators
sextic oscillator
spectral determinant
spectral sum rules
spectral zeta function
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Description
Summary:We survey sum rules for spectral zeta functions of homogeneous 1D Schrödinger operators, that mainly result from the exact Wentzel–Kramers–Brillouin method.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ac92ab