Precise analytical approximations of the eigenvalues of the decatic anharmonic potential

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dc.contributor.authorM. T. Veliz
dc.contributor.authorP. Martín
dc.date.accessioned2026-03-16T14:15:42Z
dc.date.available2026-03-16T14:15:42Z
dc.date.issued2024
dc.description.abstractPrecise analytical approximations have been determined for the eigenvalues of the ground state of the decatic anharmonic potential x2+λx10 in the one-dimensional Schrodinger equation. The results have been found using the technique multipoint quasirational approximation (MPQA). With the new method, power and asymptotic expansions have been determined. The analytic function here obtained is derived connecting both expansions. The maximum relative error of the best analytical approximation here determined is 0.04. However, most of the relative errors for other values of λ, are smaller than 1% (less than 0.01).
dc.description.sponsorshipNo declara
dc.identifier.doi10.1088/1742-6596/2839/1/012001
dc.identifier.issn17426588
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/660
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceJournal of Physics: Conference Series
dc.titlePrecise analytical approximations of the eigenvalues of the decatic anharmonic potential
dc.typeArticle
oaire.citation.volume2839
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Física
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