title: Semiclassical wave functions for open quantum billiards.
abstract: We present a semiclassical approximation to the scattering wave function Ψ(r,k) for an open quantum billiard, which is based on the reconstruction of the Feynman path integral. We demonstrate its remarkable numerical accuracy for the open rectangular billiard and show that the convergence of the semiclassical wave function to the full quantum state is controlled by the mean path length or equivalently the dwell time for a given scattering state. In the numerical implementation a cutoff length in the maximum path length or, equivalently, a maximum dwell time τ(max) included implies a finite energy resolution ΔE~τ(max)(-1). Possible applications include leaky billiards and systems with decoherence present.
authors.affiliation: Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstraße 8-10/136, 1040 Vienna, Austria, EU.
authors.forename: Fabian
authors.initials: F
authors.lastname: Lackner
authors.forename: Iva
authors.initials: I
authors.lastname: Březinová
authors.forename: Joachim
authors.initials: J
authors.lastname: Burgdörfer
authors.forename: Florian
authors.initials: F
authors.lastname: Libisch