Quantum chaos on constant negative curvature surfaces

DOI10.1016/0960-0779(94)E0067-YzbMath0912.58048MaRDI QIDQ1129358

S. H. Smith

Publication date: 25 May 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

quantum chaostrace formulaeconstant negative curvature modelsenergy-level statistics

Mathematics Subject Classification ID

Quantum chaos (81Q50) Applications of global analysis to the sciences (58Z05) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Coding chaotic billiards. I: Non-compact billiards on a negative curvature manifold
• On determinants of Laplacians on Riemann surfaces
• Chaos in classical and quantum mechanics
• Solution of the Schrödinger equation in terms of classical paths
• Statistical properties of highly excited quantum eigenstates of a strongly chaotic system
• Scattering on a hyperbolic torus in a constant magnetic field
• Semiclassical theory of spectral rigidity
• Chaotic billiards generated by arithmetic groups
• Arithmetical chaos and violation of universality in energy level statistics
• Trace formulas for arithmetical systems
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