The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution

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dc.contributor.authorTakemura, Kouichi
dc.date.accessioned2021-04-05T18:45:11Z
dc.date.available2021-04-05T18:45:11Z
dc.date.issued2004-02-05
dc.description.abstractWe apply a method of perturbation for the BC1 Inozemtsev model from the trigonometric model and show the holomorphy of perturbation. Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between L2 space and some finite dimensional space of elliptic functions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent30 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTakemura, K. (2004). The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution. <i>Electronic Journal of Differential Equations, 2004</i>(15), pp. 1-30.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13334
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHeun equation
dc.subjectCalogero-Moser-Sutherland system
dc.subjectInozemtsev model
dc.subjectPerturbation
dc.subjectKato-Rellich theory
dc.subjectTrigonometric limit
dc.subjectHeun function
dc.subjectAlgebraic solution
dc.titleThe Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution
dc.typeArticle

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