Theorems on the Jordan–Schwinger representations of Lie algebras

DOI10.1063/1.527743zbMath0641.17004OpenAlexW1989977862MaRDI QIDQ3781896

Shoon Kyung Kim

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527743

zbMATH Keywords

Lie algebraLie groupBCS modelHermitian representationprojective representationcreation and annihilation operatorsmany particle systemcharge density wavedynamical groupBogolyubov Hamiltonianboson or fermion typeJordan-Schwinger representationsuper- conductivity wavesuperfluidity wave

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46)

Related Items (4)

The Jordan–Schwinger representations of Cayley–Klein groups. I. The orthogonal groups ⋮ Variational study of fermionic and bosonic systems with non-Gaussian states: Theory and applications ⋮ Non-standard Schwinger fermionic representation of unitary group ⋮ A new boson realization of fusion polynomial algebras in non-Hermitian quantum mechanics: γ-deformed su(2) generators, PT -symmetry in Fock space and Higgs algebra

Cites Work

• Group theory approach to scattering
• An SU(8) model for the unification of superconductivity, charge, and spin density waves
• A new method of matrix transformation. I. Matrix diagonalizations via involutional transformations
• The theory of spinors via involutions and its application to the representations of the Lorentz group
• Theory of Superconductivity

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