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Spectral Decompositions for Evolution Opertors of Mixing Dynamical Systems

Stephen Roberts·Boris Muzykantskii
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Abstract

Spectral decompositions for the evolution operator on an energy shell in phase space are constructed for the free motion on compact 2D surfaces of constant negative curvature. Applications to quantum chaos and in particular to the recently proposed ballistic sigma-model are briefly discussed.

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Stephen Roberts, Boris Muzykantskii. 2000-12-18. Spectral Decompositions for Evolution Opertors of Mixing Dynamical Systems. https://doi.org/10.1088/0305-4470%2F33%2F48%2F324

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