Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited
Andr\'e Voros
TL;DR
This paper reviews sum rules for spectral zeta functions of homogeneous 1D Schrödinger operators, emphasizing their derivation via the exact WKB method, and revisits their theoretical foundations.
Contribution
It provides a comprehensive survey of sum rules derived from the exact WKB method for spectral zeta functions in 1D quantum oscillators, clarifying their theoretical basis.
Findings
Summarizes existing sum rules for spectral zeta functions.
Highlights the role of the exact WKB method in deriving these sum rules.
Revisits and clarifies the theoretical underpinnings of these sum rules.
Abstract
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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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum and electron transport phenomena · Quantum Information and Cryptography