Quantum integrable systems related with symmetric spaces of the groups U(1,2) and Sp(1,2) and Green functions on these spaces

DOI10.1063/1.531033zbMath0851.22027OpenAlexW2030211203MaRDI QIDQ4873496

Yi. A. Verdiev

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.531033

zbMATH Keywords

symmetric spacesGreen functionshypergeometric functionsquantum integrable systemspseudo-unitary group U(1,2)symplectic group Sp(1,2)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

Generalized Pöschl–Teller, Toda, Morse potentials and SL(2,R) group ⋮ QUANTUM INTEGRABLE SYSTEMS OF THE GROUP U(1,3)

Cites Work

• Eigenspaces of the Laplacian ; integral representations and irreducibility
• Spherical Functions on a Semisimple Lie Group, I

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