Embedded Gaussian unitary ensembles with U(Ω)⊗SU(r) embedding generated by random two-body interactions with SU(r) symmetry

DOI10.1063/1.4768711zbMath1278.82043arXiv1207.7032OpenAlexW3101878685MaRDI QIDQ2872425

Manan Vyas, V. K. B. Kota

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1207.7032

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Atomic physics (81V45) Many-body theory; quantum Hall effect (81V70) Random matrices (algebraic aspects) (15B52) Molecular physics (81V55) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (1)

Random matrix theory for transition strength densities in finite quantum systems: results from embedded unitary ensembles

Cites Work

• Unnamed Item
• Spectral properties of embedded Gaussian unitary ensemble of random matrices with Wigner's \(\mathrm{SU}(4)\) symmetry
• 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
• Statistical properties of dense interacting boson systems with one- plus two-body random matrix ensembles
• One- plus two-body random matrix ensembles for boson systems withF-spin: analysis using spectral variances
• SU ( N ) Wigner–Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices
• Colloquium: Random matrices and chaos in nuclear spectra
• U ( 2 Ω ) ⊃ U ( Ω ) ⊗ SU ( 2 ) Wigner-Racah algebra for embedded Gaussian unitary ensemble of random matrices with spin
• Review of thek-body embedded ensembles of Gaussian random matrices
• Summation relation for U(N) Racah coefficients
• A Class of Matrix Ensembles
• Quantum signatures of chaos
• 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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