Density of proper delay times in chaotic and integrable quantum billiards

Details Density of proper delay times in chaotic and integrable quantum billiards Density of proper delay times in chaotic and integrable quantum billiards

2001-09-19

arxiv.org/abs/cond-mat/0109344v1

Phys Rev E 65, 026221 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

3 pages, 2 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.026221

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 cut-off.

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