A compact hamiltonian with the same asymptotic mean spectral density as the Riemann zeros

DOI10.1088/1751-8113/44/28/285203zbMath1222.81172OpenAlexW2092065448MaRDI QIDQ5198458

M. V. Berry, Jonathan P. Keating

Publication date: 8 August 2011

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

Full work available at URL: https://semanticscholar.org/paper/27af72087d746add64ff6f282ccf40f900241c90

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (11)

\(H=xp\) with interaction and the Riemann zeros ⋮ Distribution of \(xp\) in some molecular rotational states ⋮ The generalized Born oscillator and the Berry-Keating Hamiltonian ⋮ Quantization of non-standard Hamiltonians and the Riemann zeros ⋮ The Berry–Keating operator on a lattice ⋮ An \textit{xp} model on \(\text{AdS}_2\) spacetime ⋮ Generalized Riemann hypothesis and stochastic time series ⋮ Generalized Riemann hypothesis, time series and normal distributions ⋮ The Riemann zeros as spectrum and the Riemann hypothesis ⋮ Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis ⋮ Phenomenological formula for quantum Hall resistivity based on the Riemann zeta function

Uses Software

• Mathematica

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