Quantum Mechanical Time-Delay Matrix in Chaotic Scattering
Journal Article
·
· Physical Review Letters
- Instituut-Lorentz, Leiden University, P.O. Box 9506, 2300 RA Leiden (The Netherlands)
We calculate the probability distribution of the matrix Q=-i{h_bar}S{sup -1}{partial_derivative}S/{partial_derivative}E for a chaotic system with scattering matrix S at energy E . The eigenvalues {tau}{sub j} of Q are the so-called proper delay times, introduced by Wigner and Smith to describe the time dependence of a scattering process. The distribution of the inverse delay times turns out to be given by the Laguerre ensemble from random-matrix theory. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 531862
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 25 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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