1995/07/31 by Yan V. Fyodorov, Ya. V. Fyodorov, H. -J. Sommers +1 · 2 citations
Mathematics · Physics and Astronomy · #Chaotic #Crossover #Distribution (mathematics) #Moment (physics) #Quantum #Quantum chaos and dynamical systems #Random Matrices and Applications #Resonance (particle physics) #Second moment of area #Spectral Theory in Mathematical Physics #Transmission (telecommunications) #chao-dyn #cond-mat #nlin.CD #nucl-th
paper · pdf · doi:10.1134/1.567120
published as JETP Lett. 63 (1996) 1026 · 4 two-column pages, RevTex. text is slightly modified; some misprints are corrected
arxiv created 1995/11/24 · openalex publication_date 1996/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 χ 2 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.