SOME STUDIES ON ARITHMETICAL CHAOS IN CLASSICAL AND QUANTUM MECHANICS

DOI10.1142/S0217979293003759zbMath0810.70016arXivchao-dyn/9305005OpenAlexW3123646496MaRDI QIDQ4299815

Jens Bolte

Publication date: 18 April 1995

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9305005

zbMATH Keywords

convergenceperiodic orbitsDirichlet seriesSelberg zeta functionHecke operatorsspectral statisticspseudosymmetriesconstant negative Gaussian curvaturequantum energiesalgebra of selfadjoint operatorsgeodesic length spectra

Mathematics Subject Classification ID

Quantum chaos (81Q50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (5)

Selberg supertrace formula for super Riemann surfaces. III: Bordered super Riemann surfaces ⋮ Maaß cusp forms for large eigenvalues ⋮ Kloosterman sums and their applications: A review ⋮ Harmonic analysis of 2d CFT partition functions ⋮ Maximum norms of chaotic quantum eigenstates and random waves

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