On the periodic orbits of a strongly chaotic system
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Publication:1113508
DOI10.1016/0167-2789(88)90068-1zbMath0662.58035OpenAlexW2030777739MaRDI QIDQ1113508
Publication date: 1988
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(88)90068-1
periodic orbitssymbolic dynamicshyperbolic geometryquantum chaosHadamard-Gutzwiller modelchaotic Hamiltonian system
Quantum chaos (81Q50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (17)
Zeta functions and periodic orbit theory: A review ⋮ Periodic orbits on the regular hyperbolic octagon ⋮ Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard ⋮ Kloosterman sums and their applications: A review ⋮ Refined asymptotic expansion for the partition function of unbounded quantum billiards ⋮ An algorithm for the computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces ⋮ Energy-level statistics of the Hadamard-Gutzwiller ensemble ⋮ Classical and quantum mechanics of a strongly chaotic billiard system ⋮ Flux string in quantum billiards with two particles. ⋮ Hyperbolic octagons and Teichmüller space in genus 2 ⋮ Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions ⋮ Crossing the entropy barrier of dynamical zeta functions ⋮ Maximum norms of chaotic quantum eigenstates and random waves ⋮ Periodic-orbit sum rules for the Hadamard-Gutzwiller model ⋮ Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string ⋮ Exact theory for the quantum eigenstates of a strongly chaotic system ⋮ Correlations for pairs of closed geodesics
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