Quantization scheme for modular q-difference equations
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
Modular pairs of some second order q-difference equations are considered. These equations may be interpreted as a quantum mechanics of a sort of hyperelliptic pendulum. It is shown the quantization of a spectrum may be provided by the condition of the analyticity of the wave function. Baxter's t-Q equations for the quantum relativistic Toda chain in the ``strong coupling regime'' are related to the system considered, and the quantization condition for Q-operator is also considered.
Cite
@article{arxiv.nlin/0402008,
title = {Quantization scheme for modular q-difference equations},
author = {S. Sergeev},
journal= {arXiv preprint arXiv:nlin/0402008},
year = {2009}
}
Comments
11 pages, LaTeX2e