Spectral Decompositions for Evolution Opertors of Mixing Dynamical Systems

Physics – Condensed Matter

Scientific paper

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Scientific paper

10.1088/0305-4470/33/48/324

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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