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Quantization Scheme for Modular q-Difference Equations

Sergeev, Sergey


We consider modular pairs of certain second-order q-difference equations. An example of such a pair is the t-Q Baxter equations for the quantum relativistic Toda lattice in the strong coupling regime. Another example from quantum mechanics is q-deformation of the Schrödinger equation with a hyperbolic potential. We show that the analyticity condition for the wave function or the Baxter function leads to a set of transcendental equations for the coefficients of the potential or the transfer...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Theoretical and Mathematical Physics
DOI: 10.1007/s11232-005-0033-x


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