Density of proper delay times in chaotic and integrable quantum billiards
M. G. A. Crawford, P. W. Brouwer
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.
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