The semiclassical functional equation

DOI10.1063/1.165919zbMath1055.81553OpenAlexW1996800697WikidataQ52421991 ScholiaQ52421991MaRDI QIDQ4526211

Jonathan P. Keating

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165919

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Other Dirichlet series and zeta functions (11M41)

Related Items (2)

Zeta functions and periodic orbit theory: A review ⋮ New approach to periodic orbit theory of spectral correlations

Cites Work

• The quantization of a classically ergodic system
• Spectral functions, special functions and the Selberg zeta function
• A rule for quantizing chaos?
• The cat maps: quantum mechanics and classical motion
• Semiclassical formula for the number variance of the Riemann zeros
• Semiclassical theory of spectral rigidity

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