On the boson–quasifermion realization of the particle–hole SO(2Ω+1) algebra

DOI10.1063/1.528573zbMath0661.46068OpenAlexW1659607632MaRDI QIDQ3810374

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528573

zbMATH Keywords

Casimir invariantsboson operatorsbilinear and linear combinations of fermion creation and annihilation operators acting on a Fock spacecore subalgebrafermionlike degrees of freedomnonunitary generalized Dyson realizationparticle-hole pairsquasifermionsshell-model algebra

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

A new boson realization for the isotropic three-dimensional oscillator

Cites Work

• Boson Expansion for Many-Fermion System as a Canonical Theory with Constraints. I
• Excitations in a High Density Electron Gas. I
• Boson representations of the real symplectic group and their applications to the nuclear collective model
• Closed, analytic, boson realizations for Sp(4)
• Hermitean Oscillator-like Realizations of Classical Algebras and Superalgebras in Hilbert Space with Positive Definite Metric
• Vector coherent state theory and its application to the orthogonal groups
• Algebraic identities among U (n) infinitesimal generators
• Invariant Operators of the Unitary Unimodular Group in n Dimensions

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