Integral representation of solution to the non-stationary Lamé equation
(English)Manuscript (preprint) (Other academic)
We consider methods for constructing explicit solutions of the non-stationary Lame equation,which is a generalization of the classical Lame equation, that has appeared in works on integrablemodels, conformal eld theory, high energy physics and representation theory. We also present ageneral method for constructing integral representations of solutions to the non-stationary Lameequation by a recursive scheme. Explicit integral representations, for special values of the modelparameters, are also presented. Our approach is based on kernel function methods which can benaturally generalized to the non-stationary Heun equation.
non-stationary Lame equation, kernel functions, solutions method, iterative integral representations
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-193358OAI: oai:DiVA.org:kth-193358DiVA: diva2:1010349
QC 201610042016-10-032016-10-032016-10-04Bibliographically approved