Density of proper delay times in chaotic and integrable quantum billiards
arXiv:cond-mat/0109344 · doi:10.1103/PhysRevE.65.026221
Abstract
We calculate the density P(τ) 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(τ) exhibits a long-time cut-off.
3 pages, 2 figures, submitted to Phys. Rev. E