Many-Particle Schrödinger Type Finitely Factorized Quantum Hamiltonian Systems and Their Integrability

DOI10.1007/978-3-030-53305-2_16zbMath1503.81063OpenAlexW3095738066MaRDI QIDQ5152777

Dominik Prorok, Anatoliy K. Prykarpatsky

Publication date: 27 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-53305-2_16

zbMATH Keywords

Fock spacequantum symmetriesquantum integrabilitycurrent algebra symmetry representationsoscillatory Calogero-Moser-Sutherland modelquantum delta-potential Schrödinger type operator

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) Invariance and symmetry properties for PDEs on manifolds (58J70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Cites Work

• Quantum inverse problem method. I
• Quantum version of the method of inverse scattering problem
• Exact operator solution of the Calogero-Sutherland model
• Dunkl Operators at Infinity and Calogero–Moser Systems
• Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models
• Differential-Difference Operators Associated to Reflection Groups
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