Intertwining operator for AG2 Calogero–Moser–Sutherland system

DOI10.1063/1.5090274zbMath1416.81061arXiv1901.02082OpenAlexW3099699692MaRDI QIDQ5228080

Martin Vrabec, Misha V. Feigin

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1901.02082

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ Bispectrality of \(AG_2\) Calogero-Moser-Sutherland system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems
• Generalized Calogero-Moser systems from rational Cherednik algebras
• Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems
• Three integrable Hamiltonian systems connected with isospectral deformations
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Quantum systems related to root systems, and radial parts of Laplace operators
• Algebraic integrability for the Schrödinger equation and finite reflection groups
• Generalized Lamé operators
• Calogero operator and Lie superalgebras
• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
• Commutative rings of partial differential operators and Lie algebras
• Additional integrals of the generalized quantum Calogero-Moser problem
• Multidimensional Baker-Akhiezer functions and Huygens' principle
• An elementary approach to the hypergeometric shift operators of Opdam
• Superanalogs of the Calogero Operators and Jack Polynomials
• Bispectrality for the quantum Ruijsenaars model and its integrable deformation
• Bispectrality for deformed CalogeroMoserSutherland systems
• G2-Calogero-Moser Lax operators from reduction
• New integrable generalizations of Calogero–Moser quantum problem
• New integrable deformations of the Calogero-Moser quantum problem
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• Algebro-geometric Schrödinger operators in many dimensions
• On the symmetry of commuting differential operators with singularities along hyperplanes

This page was built for publication: Intertwining operator for AG2 Calogero–Moser–Sutherland system