Lam\'e equation, quantum top and elliptic Bernoulli polynomials
数学物理
2007-05-23 v2 综合数学
math.MP
摘要
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.
引用
@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}
}
备注
Slightly revised version. 14 pages, 1 figure