Symmetry properties of the \(k\)-body embedded unitary Gaussian ensemble of random matrices

DOI10.1006/aphy.2002.6248zbMath1025.81055arXivcond-mat/0111568OpenAlexW2075639980MaRDI QIDQ699044

Z. Pluhar, Hans A. Weidenmüller

Publication date: 1 October 2002

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0111568

zbMATH Keywords

symmetry propertiesembedded ensemblematrix of second momentsrandom \(k\)-body interaction

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items (6)

Spectral properties of embedded Gaussian unitary ensemble of random matrices with Wigner's \(\mathrm{SU}(4)\) symmetry ⋮ A smooth transition towards a Tracy–Widom distribution for the largest eigenvalue of interacting k-body fermionic embedded Gaussian ensembles ⋮ Convergence of moment expansions for expectation values with embedded random matrix ensembles and quantum chaos ⋮ SU ( N ) Wigner–Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices ⋮ 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

• Coupling coefficients and tensor operators for chains of groups
• Spectral properties of the \(k\)-body embedded Gaussian ensembles of random matrices.
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