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:
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arXiv e-prints
- Pub Date:
- August 2005
- DOI:
- 10.48550/arXiv.math-ph/0508068
- arXiv:
- arXiv:math-ph/0508068
- Bibcode:
- 2005math.ph...8068G
- Keywords:
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- Mathematical Physics;
- Mathematics - General Mathematics;
- Mathematics - Mathematical Physics;
- 11B68;
- 81R12
- E-Print:
- Slightly revised version. 14 pages, 1 figure