The Berry–Keating operator on L^2({\mathbb R}_\gt,{\rm d}x) and on compact quantum graphs with general self-adjoint realizations

DOI10.1088/1751-8113/43/9/095204zbMath1188.81091arXiv0912.3183OpenAlexW3123663482MaRDI QIDQ5305073

Publication date: 19 March 2010

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

Full work available at URL: https://arxiv.org/abs/0912.3183

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) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (9)

Boundary systems and (skew‐)self‐adjoint operators on infinite metric graphs ⋮ Momentum operators in the unit square ⋮ Is instability near a black hole key for ``Thermalization of its horizon? ⋮ The Berry–Keating operator on a lattice ⋮ Supersymmetry and the Riemann zeros on the critical line ⋮ Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian ⋮ Linear hyperbolic systems on networks: well-posedness and qualitative properties ⋮ The Riemann zeros as spectrum and the Riemann hypothesis ⋮ On the Well-posedness of Evolutionary Equations on Infinite Graphs

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