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Liouvillian solutions for second order linear diferential equations with polynomial coefcients

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datacite.rightshttp://purl.org/coar/access_right/c_abf2spa
dc.contributor.authorAcosta‑Humánez, Primitivo B.
dc.contributor.authorBlázquez‑Sanz, David
dc.contributor.authorVenegas‑Gómez, Henock
dc.date.accessioned2020-10-20T18:21:17Z
dc.date.available2020-10-20T18:21:17Z
dc.date.issued2020-09-10
dc.description.abstractIn this paper we present an algebraic study concerning the general second order linear diferential equation with polynomial coefcients. By means of Kovacic’s algorithm and asymptotic iteration method we fnd a degree independent algebraic description of the spectral set: the subset, in the parameter space, of Liouville integrable diferential equations. For each fxed degree, we prove that the spectral set is a countable union of non accumulating algebraic varieties. This algebraic description of the spectral set allow us to bound the number of eigenvalues for algebraically quasi-solvable potentials in the Schrödinger equation.eng
dc.format.mimetypepdfspa
dc.identifier.doihttps://doi.org/10.1007/s40863-020-00186-0
dc.identifier.issn23169028
dc.identifier.urihttps://hdl.handle.net/20.500.12442/6724
dc.identifier.urlhttps://link.springer.com/article/10.1007/s40863-020-00186-0
dc.language.isoengeng
dc.publisherSpringereng
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceSão Paulo Journal of Mathematical Scienceseng
dc.subjectAnharmonic oscillatorseng
dc.subjectAsymptotic iteration methodeng
dc.subjectKovacic algorithmeng
dc.subjectLiouvillian solutionseng
dc.subjectParameter spaceeng
dc.subjectQuasi-solvable modeleng
dc.subjectSchrödinger equationeng
dc.subjectSpectral varietieseng
dc.titleLiouvillian solutions for second order linear diferential equations with polynomial coefcientseng
dc.title.abbreviatedSão Paulo J. Math. Sci.eng
dc.type.driverinfo:eu-repo/semantics/articlespa
dc.type.spaArtículo científicospa
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