Application of Laskin fractional quantum mechanics with a changed fractional differential operator to one-dimensional potentials

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dc.contributor.affiliationMedina L.Y., Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia
dc.contributor.affiliationCorrea J.D., Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia
dc.contributor.affiliationMora-Ramos M.E., Centro de Investigación en Ciencias-IICBA, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Morelos, Cuernavaca, CP 62209, Mexico
dc.contributor.affiliationPérez-Torres J.F., Escuela de Química, Universidad Industrial de Santander, Bucaramanga, Colombia
dc.contributor.authorMedina L.Y.
dc.contributor.authorCorrea J.D.
dc.contributor.authorMora-Ramos M.E.
dc.contributor.authorPérez-Torres J.F.
dc.date.accessioned2025-09-08T14:23:39Z
dc.date.available2025-09-08T14:23:39Z
dc.date.issued2025
dc.descriptionWe studied the quantum mechanics problem of certain one-dimensional potential functions using Laskin fractional quantum mechanics. We used different representations to describe the kinetic energy operator, including the conformable and Riemann-Liouville-Caputo fractional differential operators. We then compared each approach’s energy states and wave function outcomes for single and double rectangular and harmonic potentials. As the fractional index increased, there was a noticeable difference between the excited energy values resulting from each method. When the system exhibits degeneracy, we find noticeable changes in the probability densities. Our results provide a straightforward and standardized approach for solving the one-dimensional fractional Schrödinger equation numerically. © (2025), (Sociedad Mexicana de Fisica). All rights reserved.
dc.identifier.doi10.31349/RevMexFis.71.020703
dc.identifier.instnameinstname:Universidad de Medellínspa
dc.identifier.issn0035001X
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellínspa
dc.identifier.repourlrepourl:https://repository.udem.edu.co/
dc.identifier.urihttps://hdl.handle.net/11407/9075
dc.language.isoeng
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.relation.citationendpage10
dc.relation.citationissue2
dc.relation.citationstartpage1
dc.relation.citationvolume71
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-105000146723&doi=10.31349%2fRevMexFis.71.020703&partnerID=40&md5=7a9b0397d2b2f3f070e9a3b337207eb0
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dc.rights.accesoRestricted access
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.sourceRevista Mexicana de Fisica
dc.sourceRev. Mex. Fis.
dc.sourceScopus
dc.subject1D problems
dc.subjectConformable formulation
dc.subjectFractional quantum mechanics
dc.subjectRiemann-Liouville-Caputo formulation
dc.titleApplication of Laskin fractional quantum mechanics with a changed fractional differential operator to one-dimensional potentials
dc.typeArticle
dc.type.localArtículospa
dc.type.versioninfo:eu-repo/semantics/publishedVersion

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