Lamé equation, quantum top and elliptic Bernoulli polynomials
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 Lamé operator.
 Publication:

arXiv eprints
 Pub Date:
 August 2005
 arXiv:
 arXiv:mathph/0508068
 Bibcode:
 2005math.ph...8068G
 Keywords:

 Mathematical Physics;
 Mathematics  General Mathematics;
 Mathematics  Mathematical Physics;
 11B68;
 81R12
 EPrint:
 Slightly revised version. 14 pages, 1 figure