Exact and semiclassical Husimi distributions of Quantum Map Eigenstates

Details Exact and semiclassical Husimi distributions of Quantum Map Eigenstates Exact and semiclassical Husimi distributions of Quantum Map Eigenstates

2001-05-03

arxiv.org/abs/nlin/0105006v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, 6 figures

Scientific paper

The projector onto single quantum map eigenstates is written only in terms of
powers of the evolution operator, up to half the Heisenberg time, and its
traces. These powers are semiclassically approximated, by a complex generating
function, giving the Husimi distribution of the eigenstates. The results are
tested on the Cat and Baker maps.

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