title: Density of proper delay times in chaotic and integrable quantum billiards.
abstract: We calculate the density P(tau) of the eigenvalues of the Wigner-Smith time delay matrix for two-dimensional rectangular and circular billiards with one opening. For long times, the density of these so-called "proper delay times" decays algebraically, in contradistinction to chaotic quantum billiards for which P(tau) exhibits a long-time cutoff.
authors.affiliation: Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA.
authors.forename: M G A
authors.initials: MG
authors.lastname: Crawford
authors.forename: P W
authors.initials: PW
authors.lastname: Brouwer