SU ( N ) Wigner–Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices

DOI10.1063/1.1850179zbMath1067.82020arXivnucl-th/0410069OpenAlexW1994308476MaRDI QIDQ3024275

V. K. B. Kota

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/nucl-th/0410069

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Analysis on other specific Lie groups (43A80)

Related Items

Random matrix theory for transition strength densities in finite quantum systems: results from embedded unitary ensembles ⋮ Spectral properties of embedded Gaussian unitary ensemble of random matrices with Wigner's \(\mathrm{SU}(4)\) symmetry ⋮ Quenched many-body quantum dynamics with k-body interactions using q-Hermite polynomials ⋮ U ( 2 Ω ) ⊃ U ( Ω ) ⊗ SU ( 2 ) Wigner-Racah algebra for embedded Gaussian unitary ensemble of random matrices with spin ⋮ Embedded Gaussian unitary ensembles with U(Ω)⊗SU(r) embedding generated by random two-body interactions with SU(r) symmetry

Cites Work

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• Symmetry properties of the \(k\)-body embedded unitary Gaussian ensemble of random matrices
• Spectral properties of the \(k\)-body embedded Gaussian ensembles of random matrices for bosons
• Review of thek-body embedded ensembles of Gaussian random matrices
• Spinors in Negative Dimensions
• Spectral properties of the \(k\)-body embedded Gaussian ensembles of random matrices.