Fredholm methods for billiard eigenfunctions in the coherent state representation

Details Fredholm methods for billiard eigenfunctions in the coherent state representation Fredholm methods for billiard eigenfunctions in the coherent state representation

2000-03-15

arxiv.org/abs/nlin/0003037v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, 10 figures. Submitted to Phys. Rev. E. Comments or questions to simonotti@tandar.cnea.gov.ar

Scientific paper

10.1103/PhysRevE.61.6527

We obtain a semiclassical expression for the projector onto eigenfunctions by
means of the Fredholm theory. We express the projector in the coherent state
basis, thus obtaining the semiclassical Husimi representation of the stadium
eigenfunctions, which is written in terms of classical invariants: periodic
points, their monodromy matrices and Maslov indices.

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