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• W1965588876 abstract "The Selberg zeta function ζs(s) yields an exact relationship between the periodic orbits of a fully chaotic Hamiltonian system (the geodesic flow on surfaces of constant negative curvature) and the corresponding quantum system (the spectrum of the Laplace-Beltrami operator on the same manifold). It was found that for certain manifolds, ζs(s) can be exactly ewritten as the Fredholm-Grothendieck determinant det (1−Ts), where Ts is a generalization of the Ruelle-Perron- Frobenius transfer operator. We present an alternative derivation of this result, yielding a method to find not only the spectrum but also the eigenfunctions of the Laplace-Beltrami operator in terms of eigenfunctions of Ts. Various properties of the transfer operator are investigated both analytically and numerically for several systems." @default.
• W1965588876 created "2016-06-24" @default.
• W1965588876 creator A5070518912 @default.
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• W1965588876 date "1993-08-01" @default.
• W1965588876 modified "2023-09-25" @default.
• W1965588876 title "Quantum maps from transfer operators" @default.
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• W1965588876 doi "https://doi.org/10.1016/0167-2789(93)90199-b" @default.
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