Lamé equation, quantum top and elliptic Bernoulli polynomials

Details Lamé equation, quantum top and elliptic Bernoulli polynomials Lamé equation, quantum top and elliptic Bernoulli polynomials

2005-08-31

arxiv.org/abs/math-ph/0508068v2

Physics

Mathematical Physics

Slightly revised version. 14 pages, 1 figure

Scientific paper

A generalisation of the odd Bernoulli polynomials related to the quantum
Euler top is introduced and investigated. This is applied to compute the
coefficients of the spectral polynomials for the classical Lam\'e operator.

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