Boson operator realizations of su(2) and su(1,1) and unitarization

DOI10.1063/1.528424zbMath0663.22014OpenAlexW1973510806MaRDI QIDQ3812476

Miguel Lorente, Bruno Gruber, H. D. Doebner

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528424

zbMATH Keywords

Heisenberg algebrarepresentationsVerma modulesFock spacesscalar productBoson operator realizations of su(2) and su(1,1)boson statescreation- annihilation operatorGel'fand-Dyson realization of su(1,1)Primakoff-Holstein realizations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Atomic physics (81V45) Lie algebras of Lie groups (22E60)

Related Items

Coherent states in magnetized anisotropic 2D Dirac materials, On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states, On induced scalar products and unitarization, Indecomposable representations and boson realizations of the nonlinear deformed angular momentum algebra of Witten's first type, Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization, Boson and differential realizations of polynomial angular momentum algebra, New inhomogeneous boson realizations and inhomogeneous differential realizations of Lie algebras, sl(2)-modules by sl(2)-coherent states, BFV quantization on Hermitian symmetric spaces

Cites Work

• Group theory approach to scattering
• Representations of Semisimple Lie Groups IV
• Matrix elements for indecomposable representations of complex su(2)
• Beyond the Enveloping Algebra of sl₃
• Collectivity and geometry. IV. Sp(6) ⊇ Sp(2)×O(3) basis states for open shells
• Multiplicity free and finite multiplicity indecomposable representations of the algebra su(1,1)