Distribution of Proper Delay Times in Quantum Chaotic Scattering: A Crossover from Ideal to Weak Coupling

Hans-Jürgen Sommers, Dmitry V. Savin, Valentin V. Sokolov
2001 Physical Review Letters  
The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of scattering channels as well as arbitrary coupling to the energy continuum. The case of statistically equivalent channels is studied in detail. In particular, the semiclassical limit of infinite number of weak channels is paid appreciable attention.
doi:10.1103/physrevlett.87.094101 pmid:11531567 fatcat:63jljxpyrvguhizhve5bwdbvxq