Statistics of S-matrix poles in few-channel chaotic scattering: Crossover from isolated to overlapping resonances
Open Access
- 1 June 1996
- journal article
- Published by Pleiades Publishing Ltd in JETP Letters
- Vol. 63 (12) , 1026-1030
- https://doi.org/10.1134/1.567120
Abstract
We derive an explicit expression for the distribution of resonance widths in a chaotic quantum system coupled to continua via M equivalent open channels. It describes a crossover from the χ2 distribution (regime of isolated resonances) to a broad, power-law-like distribution typical for the regime of overlapping resonances. The first moment is found to reproduce exactly the Moldauer-Simonius relation between the mean resonance width and the transmission coefficient.Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Vibrational resonances in molecular photodissociation: from state-specific to statistical behaviourJournal of Physics B: Atomic, Molecular and Optical Physics, 1995
- Parametric variation of resonances for regular and chaotic scatteringChaos, Solitons, and Fractals, 1995
- Resonance phenomena at high level densityJournal of Physics A: General Physics, 1995
- Statistical properties of level widths and conductance peaks in a quantum dotPhysical Review B, 1995
- Gaussian Orthogonal Ensemble Statistics in a Microwave Stadium Billiard with Chaotic Dynamics: Porter-Thomas Distribution and Algebraic Decay of Time CorrelationsPhysical Review Letters, 1995
- Origin of narrow resonances in the diamagnetic Rydberg spectrumPhysical Review Letters, 1993
- Statistics of complex levels of random matrices for decaying systemsZeitschrift für Physik B Condensed Matter, 1992
- Statistical theory of Coulomb blockade oscillations: Quantum chaos in quantum dotsPhysical Review Letters, 1992
- Dynamics and statistics of unstable quantum statesNuclear Physics A, 1989
- Grassmann integration in stochastic quantum physics: The case of compound-nucleus scatteringPhysics Reports, 1985