Equilibrium of charges and differential equations solved by polynomials

DOI10.1088/0305-4470/37/4/017zbMath1108.34004arXivmath-ph/0304008OpenAlexW1971874153MaRDI QIDQ4460969

Igor M. Loutsenko

Publication date: 29 March 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0304008

zbMATH Keywords

Adler-Moser polynomialsmodified rational Baker-Akhiezer functionsscaling, reparametrization and bispectrality for eigenvalues

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Explicit solutions, first integrals of ordinary differential equations (34A05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Motion of charged particles (78A35) Orthogonal polynomials and functions associated with root systems (33C52)

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