Spectral zeta functions for Aharonov-Bohm quantum billiards

DOI10.1088/0305-4470/19/12/015zbMath0623.58044OpenAlexW2090280266MaRDI QIDQ3761342

M. V. Berry

Publication date: 1986

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

Full work available at URL: https://semanticscholar.org/paper/96c1aedc7a2868e925e23b98859ca3729ad8c405

zbMATH Keywords

eigenvaluessemiclassical approximationSchrödinger's equationnonintegrable billiard

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of global analysis to the sciences (58Z05)

Related Items (10)

Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited ^* ⋮ Zeta functions and periodic orbit theory: A review ⋮ Exact sum rules for inhomogeneous systems containing a zero mode ⋮ Exact sum rules for inhomogeneous strings ⋮ A non-Hermitian circular billiard ⋮ Spectral sum rules for the Schrödinger equation ⋮ \(\mathcal{PT}\)-symmetric strings ⋮ Exact sum rules for heterogeneous spherical drums ⋮ Spectral functions of zeros in the Bessel \(q\)-functions ⋮ A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards

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