Lam\'e equation, quantum top and elliptic Bernoulli polynomials
Mathematical Physics
2007-05-23 v2 General Mathematics
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0508068,
title = {Lam\'e equation, quantum top and elliptic Bernoulli polynomials},
author = {M. -P. Grosset and A. P. Veselov},
journal= {arXiv preprint arXiv:math-ph/0508068},
year = {2007}
}
Comments
Slightly revised version. 14 pages, 1 figure