Harmonics on hyperspheres, separation of variables and the Bethe ansatz

DOI10.1007/BF00750812zbMath0838.58017arXivhep-th/9405085OpenAlexW3098161677MaRDI QIDQ1899842

J. Harnad, Pavel Winternitz

Publication date: 26 November 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9405085

zbMATH Keywords

integrable systemsBethe ansatzHelmholtz equationharmonic functionsloop algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly solvable models; Bethe ansatz (82B23)

Related Items (6)

On the zeros of complex Van Vleck polynomials ⋮ Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials ⋮ Central limit theorems for the zeros of Lamé polynomials ⋮ Exact solution of the quantum Calogero–Gaudin system and of its q deformation ⋮ On the distribution and interlacing of the zeros of Stieltjes polynomials ⋮ Spectral asymptotic for the high-dimensional Euler top

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