The Berry–Keating operator on a lattice
DOI10.1088/1751-8121/AA5844zbMath1361.81078arXiv1610.06472OpenAlexW2539248628MaRDI QIDQ2975036
Jens Bolte, Sebastian Endres, Stefan Keppeler
Publication date: 11 April 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.06472
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Hamilton's equations (70H05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
- The Riemann zeta function and the inverted harmonic oscillator
- Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
- The mathematical aspects of quantum maps. Collected papers of a summer school, Bologna, September 1--11, 2001
- Spectral estimates around a critical level
- Equipartition of the eigenfunctions of quantized ergodic maps on the torus
- Torus as phase space: Weyl quantization, dequantization, and Wigner formalism
- The Berry–Keating Hamiltonian and the local Riemann hypothesis
- Harmonic Analysis in Phase Space. (AM-122)
- The Riemann Zeros and Eigenvalue Asymptotics
- A compact hamiltonian with the same asymptotic mean spectral density as the Riemann zeros
- The Berry–Keating operator on L^2({\mathbb R}_\gt,{\rm d}x) and on compact quantum graphs with general self-adjoint realizations
This page was built for publication: The Berry–Keating operator on a lattice
