Generalized Lamé operators

DOI10.1007/s00220-003-0869-6zbMath1119.34066arXivmath/0212029OpenAlexW1502211198MaRDI QIDQ1404747

Alexei Oblomkov, Oleg A. Chalykh, Pavel I. Etingof

Publication date: 21 August 2003

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

Full work available at URL: https://arxiv.org/abs/math/0212029

zbMATH Keywords

algebraic integrabilityelliptic potentialsalgebro-geometric operatorsgeneralized Lamé operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (8)

Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ Quantum integrability of the deformed elliptic Calogero–Moser problem ⋮ On Darboux-Treibich-Verdier potentials ⋮ Factorization and resultants of partial differential operators ⋮ On elliptic Calogero-Moser systems for complex crystallographic reflection groups ⋮ Towards a quaternionic function theory linked with the Lamé's wave functions ⋮ The algebraic integrability of the quantum Toda lattice and the Radon transform ⋮ Intertwining operator for AG2 Calogero–Moser–Sutherland system

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