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

2001/05/31 by Hans-Jürgen Sommers, Hans-Juergen Sommers, Dmitry V. Savin +1 · 10 citations
Physics and Astronomy · #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #cond-mat.dis-nn #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physrevlett.87.094101

published as Phys. Rev. Lett. 87, 094101 (2001) · 4 pages, 2 figures; ref.[14] added, PRL version

openalex publication_date 2001/08/08 · arxiv created 2001/08/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 an infinite number of weak channels is paid appreciable attention.

Citations

• Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
• Localization-induced coherent backscattering effect in wave dynamics
• Lower Limit for the Energy Derivative of the Scattering Phase Shift

Cited by

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• Correlation function bootstrapping in quantum chaotic systems
• Charge densities and charge noise in mesoscopic conductors
• Random Matrix Theory for Chaotic Wave Scattering and Transport
• Nonexponential Dissipation in a Lossy Elastodynamic Billiard: Comparison with Porter-Thomas and Random Matrix Predictions
• Density of proper delay times in chaotic and integrable quantum billiards
• Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard

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