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Density of proper delay times in chaotic and integrable quantum billiards
1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
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.