The Jordan–Schwinger representations of Cayley–Klein groups. II. The unitary groups

DOI10.1063/1.528782zbMath0701.22010OpenAlexW2075642453MaRDI QIDQ3478635

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528782

zbMATH Keywords

special unitary groupscoherent statesmatrix elementscreation and annihilation operatorsJordan-Schwinger representationsunitary Cayley-Klein groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30)

Related Items (5)

Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups ⋮ On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states ⋮ The Jordan–Schwinger representations of Cayley–Klein groups. III. The symplectic groups ⋮ Entropic inequalities for matrix elements of rotation group irreducible representations ⋮ Behavior of a constrained particle on superintegrability of the two-dimensional complex Cayley-Klein space and its thermodynamic properties

Cites Work

• Casimir operators of groups of motions of spaces of constant curvature
• The fundamental invariants of inhomogeneous classical groups
• The Jordan–Schwinger representations of Cayley–Klein groups. I. The orthogonal groups
• Evolution of SU(2) and SU(1,1) states: A further mathematical analysis
• Coherent and Incoherent States of the Radiation Field
• On the Contraction of Groups and Their Representations

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