On the quantum zeta function

DOI10.1088/0305-4470/29/21/014zbMath0905.58040OpenAlexW2004695290MaRDI QIDQ4393724

Richard E. Crandall

Publication date: 2 February 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/21/014

zbMATH Keywords

energyanalytic continuationpath integrationperturbation expansionsquantum chaosnumerical estimatesquantum zeta function

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Ergodic theorems, spectral theory, Markov operators (37A30) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (14)

Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited ^* ⋮ Exact sum rules for inhomogeneous systems containing a zero mode ⋮ Exact sum rules for inhomogeneous strings ⋮ Recursion rules for the hypergeometric zeta function ⋮ Multiple zeta values for classical special functions ⋮ Factorization of the characteristic function of a Jacobi matrix ⋮ Spectral sum rules for the Schrödinger equation ⋮ The distribution of the area under a Bessel excursion and its moments ⋮ Structural properties of multiple zeta values ⋮ Quasi-shuffle algebras and applications ⋮ Uniform asymptotics of area-weighted Dyck paths ⋮ Computational strategies for the Riemann zeta function ⋮ The zeta function for the triangular potential ⋮ A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards

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