Spectral properties of the \(k\)-body embedded Gaussian ensembles of random matrices for bosons

DOI10.1006/aphy.2002.6253zbMath1018.81010arXivcond-mat/0107364OpenAlexW1971281501MaRDI QIDQ699060

M. C. Fu

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/0107364

zbMATH Keywords

random-matrix theoryembedded ensemblesbosonic systemstwo-body random ensembles

Mathematics Subject Classification ID

Nuclear physics (81V35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Statistical mechanics of solids (82D20) Molecular physics (81V55)

Related Items

Random matrix theory for transition strength densities in finite quantum systems: results from embedded unitary ensembles, Quantum efficiencies in finite disordered networks connected by many‐body interactions, Spectral properties of embedded Gaussian unitary ensemble of random matrices with Wigner's \(\mathrm{SU}(4)\) symmetry, Probability distribution of the ratio of consecutive level spacings in interacting particle systems, Structure of wavefunction for interacting bosons in mean-field with random \(k\)-body interactions, Quenched many-body quantum dynamics with k-body interactions using q-Hermite polynomials, SU ( N ) Wigner–Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices, Power spectrum analysis of the average-fluctuation density separation in interacting particle systems, Particle diagrams and statistics of many-body random potentials, Quantum resonant systems, integrable and chaotic, Embedded Gaussian unitary ensembles with U(Ω)⊗SU(r) embedding generated by random two-body interactions with SU(r) symmetry, Statistical properties of dense interacting boson systems with one- plus two-body random matrix ensembles

Cites Work

• 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.