Quantization scheme for modular q-difference equations

Sergey Sergeev

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2 Citations (Scopus)

Abstract

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 matrix, the solution of which is their discrete spectrum
Original languageEnglish
Pages (from-to)422-430
Number of pages9
JournalTheoretical and Mathematical Physics
Volume142
Issue number3
DOIs
Publication statusPublished - Mar 2005
Externally publishedYes

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