Quantum maps from transfer operators

DOI10.1016/0167-2789(93)90199-BzbMath0795.58038MaRDI QIDQ1312519

M. Carioli, E. B. Bogomolnij

Publication date: 11 September 1994

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

zbMATH Keywords

spectrumeigenfunctionsLaplace-Beltrami operatorSelberg zeta function

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Dynamical zeta functions for Artin's billiard and the Venkov-Zograf factorization formula ⋮ Quantum chaos: Unexpected complexity ⋮ Continued fraction algorithms, functional operators, and structure constants ⋮ Chaos and quantum chaos in cosmological models ⋮ Rooms with a view: a novel approach to iterated multidimensional wave conversion ⋮ REFLECTIONS ON THE HYPERBOLIC PLANE ⋮ Statistical mechanics of braided Markov chains. I: Analytical methods and numerical simulations

Uses Software

• Mathematica

Cites Work

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• The backward continued fraction map and geodesic flow
• Geodesic flows, interval maps, and symbolic dynamics
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• Symbolic Dynamics for Hyperbolic Flows
• Axiom A Diffeomorphisms have Rational Zeta Functions

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