Statistics of time delay and scattering correlation functions in chaotic systems. I. Random matrix theory
From MaRDI portal
Publication:5264407
DOI10.1063/1.4922746zbMath1322.81050arXiv1507.05524OpenAlexW3101025008MaRDI QIDQ5264407
Publication date: 27 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.05524
Random matrices (probabilistic aspects) (60B20) Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Random matrices (algebraic aspects) (15B52) Inelastic and multichannel quantum scattering (81U35)
Related Items (10)
Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities ⋮ Truncated linear statistics associated with the eigenvalues of random matrices. II: Partial sums over proper time delays for chaotic quantum dots ⋮ Time delay statistics for chaotic cavities with absorption ⋮ Integer moments of complex Wishart matrices and Hurwitz numbers ⋮ Moments of random matrices and hypergeometric orthogonal polynomials ⋮ Large-N expansion for the time-delay matrix of ballistic chaotic cavities ⋮ Wigner–Smith time-delay matrix in chaotic cavities with non-ideal contacts ⋮ Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation ⋮ Semiclassical calculation of time delay statistics in chaotic quantum scattering ⋮ Schur expansion of random-matrix reproducing kernels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\)
- Stochastic versus semiclassical approach to quantum chaotic scattering
- Time delay
- Time delay correlations in chaotic scattering: Random matrix approach
- Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- Random matrices and chaos in nuclear physics: Nuclear reactions
- Joint moments of proper delay times
- Lifetime Matrix in Collision Theory
- Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
- Lower Limit for the Energy Derivative of the Scattering Phase Shift
This page was built for publication: Statistics of time delay and scattering correlation functions in chaotic systems. I. Random matrix theory
