On the form factor for the unitary group

DOI10.1063/1.1814419zbMath1064.81036arXivcond-mat/0311074OpenAlexW2159320447MaRDI QIDQ3024160

Mirko Degli Esposti, Andreas Knauf

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0311074

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

Energy-dependent correlations in the S-matrix of chaotic systems ⋮ Expansion of polynomial Lie group integrals in terms of certain maps on surfaces, and factorizations of permutations ⋮ Convergence of moments of twisted COE matrices ⋮ Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation

Cites Work

• A bound for the complexity of a simple graph
• Periodic orbit theory and spectral statistics for quantum graphs
• Linear functionals of eigenvalues of random matrices
• Spectral gap of doubly stochastic matrices generated from equidistributed unitary matrices
• Semiclassical theory of spectral rigidity
• Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
• Form factor for a family of quantum graphs: an expansion to third order
• Spectral form factor of hyperbolic systems: leading off-diagonal approximation
• Unitary-stochastic matrix ensembles and spectral statistics
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
• Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

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