Moments of the Wigner delay times

DOI10.1088/1751-8113/43/3/035101zbMath1183.81069arXiv0910.0060OpenAlexW3100355571MaRDI QIDQ3404500

Gregory Berkolaiko, Jack Kuipers

Publication date: 9 February 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0060

Mathematics Subject Classification ID

Quantum chaos (81Q50) (S)-matrix theory, etc. in quantum theory (81U20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (14)

Joint moments of proper delay times ⋮ Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\) ⋮ Energy-dependent correlations in the S-matrix of chaotic systems ⋮ Time delay statistics for chaotic cavities with absorption ⋮ Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach ⋮ Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions ⋮ Asymptotics of Selberg-like integrals by lattice path counting ⋮ Efficient semiclassical approach for time delays ⋮ Large-N expansion for the time-delay matrix of ballistic chaotic cavities ⋮ Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I ⋮ Transport moments beyond the leading order ⋮ Moments of the transmission eigenvalues, proper delay times and random matrix theory II ⋮ Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation ⋮ Semiclassical calculation of time delay statistics in chaotic quantum scattering

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