Lamé Equation, Quantum Euler Top and Elliptic Bernoulli Polynomials

DOI10.1017/S0013091505001872zbMath1178.11026arXivmath-ph/0508068OpenAlexW2131513944MaRDI QIDQ3533805

Marie-Pierre Grosset, Alexander P. Veselov

Publication date: 24 October 2008

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0508068

zbMATH Keywords

Lamé equationBernoulli polynomialsquantum top

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Special sequences and polynomials (11B83) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (9)

On the spectra of real and complex Lamé operators ⋮ Quantum tops as examples of commuting differential operators ⋮ Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials ⋮ Quantum Bianchi-VII problem, Mathieu functions and arithmetic ⋮ Spectral Curve of the Halphen Operator ⋮ AUTOMORPHISM OF SOLUTIONS TO RAMANUJAN'S DIFFERENTIAL EQUATIONS AND OTHER RESULTS ⋮ On the distribution and interlacing of the zeros of Stieltjes polynomials ⋮ Root asymptotics of spectral polynomials for the Lamé operator ⋮ Interlacing and nonorthogonality of spectral polynomials for the Lamé operator

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