title: Fredholm methods for billiard eigenfunctions in the coherent state representation
abstract: 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.
authors.affiliation: Departamento de Fisica, Comision Nacional de Energia Atomica, Avenida Libertador 8250, (1429) Buenos Aires, Argentina.
authors.initials: FP
authors.lastname: Simonotti
authors.initials: M
authors.lastname: Saraceno