Convergence of moment expansions for expectation values with embedded random matrix ensembles and quantum chaos

DOI10.1016/S0003-4916(03)00058-7zbMath1021.81020OpenAlexW2057857095MaRDI QIDQ1395785

V. K. B. Kota

Publication date: 1 July 2003

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0003-4916(03)00058-7

Mathematics Subject Classification ID

Quantum chaos (81Q50) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (5)

Random matrix theory for transition strength densities in finite quantum systems: results from embedded unitary ensembles ⋮ Poisson to GOE transition in the distribution of the ratio of consecutive level spacings ⋮ Strength functions for interacting bosons in a mean-field with random two-body interactions ⋮ Particle diagrams and statistics of many-body random potentials ⋮ Statistical nuclear spectroscopy with \(q\)-normal and bivariate \(q\)-normal distributions and \(q\)-Hermite polynomials

Cites Work

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• Symmetry properties of the \(k\)-body embedded unitary Gaussian ensemble of random matrices
• Quantum chaos in many-body systems: what can we learn from the Ce atom?
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• Embedded random matrix ensembles for complexity and chaos in finite interacting particle systems
• Spectral properties of the \(k\)-body embedded Gaussian ensembles of random matrices.

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