Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian

DOI10.1088/1751-8121/aab068zbMath1390.81176arXiv1710.04411OpenAlexW2761110645WikidataQ62272421 ScholiaQ62272421MaRDI QIDQ4644124

Dorje C. Brody, Carl M. Bender

Publication date: 30 May 2018

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

Full work available at URL: https://arxiv.org/abs/1710.04411

zbMATH Keywords

zeta functionRiemann hypothesisWKB analysisBerry-Keating conjecture

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (4)

Operator-valued zeta functions and Fourier analysis ⋮ Conformal bridge transformation, \( \mathcal{PT}\)- and supersymmetry ⋮ Supersymmetry and the Riemann zeros on the critical line ⋮ Biorthogonal systems on unit interval and zeta dilation operators

Cites Work

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• Biorthogonal quantum mechanics
• Bernoulli Numbers and Zeta Functions
• WKB methods for difference equations I

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