Energy-level statistics of the Hadamard-Gutzwiller ensemble

DOI10.1016/0167-2789(90)90131-8zbMath0704.58039OpenAlexW2093039088MaRDI QIDQ917122

R. Aurich, Frank Steiner

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90131-8

zbMATH Keywords

random matrix theorysemiclassical limitquantum chaos

Mathematics Subject Classification ID

Quantum chaos (81Q50) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Random matrices (algebraic aspects) (15B52)

Related Items

The behaviour of eigenstates of arithmetic hyperbolic manifolds, Number variance for arithmetic hyperbolic surfaces, Zeta functions and periodic orbit theory: A review, Statistical properties of highly excited quantum eigenstates of a strongly chaotic system, Quantum eigenstates of a strongly chaotic system and the scar phenomenon, Periodic orbits on the regular hyperbolic octagon, Kloosterman sums and their applications: A review, Distribution of eigenvalues for the modular group, GOE statistics on the moduli space of surfaces of large genus, Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces, Hyperbolic octagons and Teichmüller space in genus 2, Stable multiplicities in the length spectrum of Riemann surfaces, Ordered level spacing probability densities, Exact theory for the quantum eigenstates of a strongly chaotic system

Cites Work

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