Symbolic solution for generalized quantum cylindrical wells using computer algebra

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dc.contributor.authorPulgarin, E.Y.V.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorPulgarin, E.Y.V.
dc.date.accessioned2021-03-26T21:35:21Z
dc.date.available2021-03-26T21:35:21Z
dc.date.issued2008-01-01
dc.description.abstractThis paper present how to solve the problem of cylindrical quantum wells with potential energy different from zero and with singularity of the energy on the axis of the cylinder. The solution to the problem was obtained using methods of computer algebra. The results depend of Bessel and Kummer functions. This paper present energy levels and wave functions in some of the cases with an exactly form and in other cases with an approximated form, this form depended on the possibility of integrating the special functions and calculating the zeros of these functions. Here we can see the power of the method in the applications concerning complex problems of quantum mechanics, and the possibility of being able to apply this method in order to solve other problems in science and also in engineering.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=6794
dc.identifier.isbn1601320590
dc.identifier.otherSCOPUS;2-s2.0-62649127587
dc.identifier.urihttp://hdl.handle.net/10784/27431
dc.language.isoengeng
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-62649127587&partnerID=40&md5=d2bce75b38fa6ec9a6bc8b7051d2a9f5
dc.sourceProceedings Of The 2008 International Conference On Scientific Computing, Csc 2008
dc.subject.keywordComplex problemseng
dc.subject.keywordComputer algebraseng
dc.subject.keywordEnergy levelseng
dc.subject.keywordHypergeometric functioneng
dc.subject.keywordKummer functioneng
dc.subject.keywordQuantum mechanicseng
dc.subject.keywordQuantum wellseng
dc.subject.keywordSpecial functionseng
dc.subject.keywordAlgebraeng
dc.subject.keywordBessel functionseng
dc.subject.keywordCryogenic liquidseng
dc.subject.keywordHarmonic analysiseng
dc.subject.keywordWellseng
dc.subject.keywordWave functionseng
dc.titleSymbolic solution for generalized quantum cylindrical wells using computer algebraeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localDocumento de conferenciaspa

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