Quantization scheme for modular q-difference equations

Details Quantization scheme for modular q-difference equations Quantization scheme for modular q-difference equations

2004-02-05

arxiv.org/abs/nlin/0402008v1

Theor. Math. Phys. 142 (2005) 422-430

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, LaTeX2e

Scientific paper

10.1007/s11232-005-0033-x

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.

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