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Quantization Scheme for Modular q-Difference Equations

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dc.contributor.authorSergeev, Sergey
dc.date.accessioned2015-12-13T22:50:11Z
dc.date.issued2005
dc.date.updated2015-12-11T10:38:35Z
dc.description.abstractWe 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.
dc.identifier.issn0040-5779
dc.identifier.urihttp://hdl.handle.net/1885/80684
dc.publisherPlenum Publishing Corporation
dc.sourceTheoretical and Mathematical Physics
dc.subjectKeywords: Baxter equations; Modular dualization; Strong coupling regime
dc.titleQuantization Scheme for Modular q-Difference Equations
dc.typeJournal article
local.bibliographicCitation.issue3
local.bibliographicCitation.lastpage430
local.bibliographicCitation.startpage422
local.contributor.affiliationSergeev, Sergey, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidSergeev, Sergey, u4061711
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010109 - Ordinary Differential Equations, Difference Equations and Dynamical Systems
local.identifier.ariespublicationMigratedxPub8948
local.identifier.citationvolume143
local.identifier.doi10.1007/s11232-005-0033-x
local.identifier.scopusID2-s2.0-17244373683
local.type.statusPublished Version

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