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Wave functions of the Hydrogen atom in the momentum representation

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dc.contributor.authorKirchbach, Mariana
dc.contributor.authorVallejo Rodríguez, José Antonio
dc.contributor.orcidhttps://orcid.org/0000-0002-4264-3296
dc.date.accessioned2024-12-20T13:15:00Z
dc.date.available2024-12-20T13:15:00Z
dc.date.issued2023-03-03
dc.descriptionThis is a Submitted Manuscript of an article published by IOPscience in "Journal of Physics A: Mathematical and Theoretical, 56, 12, 2023", available at: https://doi.org/10.1088/1751-8121/acbc5a Este es el manuscrito enviado del artículo publicado por IOPscience en "Journal of Physics A: Mathematical and Theoretical, 56, 12, 2023", disponible en línea: https://doi.org/10.1088/1751-8121/acbc5a
dc.description.abstractWe construct the integral transform passing from the space representation to the radial momentum representation for the Hydrogen atom. The resulting wave functions are explicitly given in terms of complex finite expansions of Gegenbauer functions of the first and second kind, or in terms of (elementary) trigonometric functions. We show their symmetry under the (SO4) group, and their equivalence with those of Lombardi and Ogilvie (2020 Chem. Phys. 538 110886)en
dc.description.versionversión original
dc.identifier.citationM Kirchbach and J A Vallejo 2023 J. Phys. A: Math. Theor. 56 125302 https://doi.org/10.1088/1751-8121/acbc5a
dc.identifier.doihttps://doi.org/10.1088/1751-8121/acbc5a
dc.identifier.issn1751-8121
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25023
dc.journal.issue12
dc.journal.titleJournal of Physics A: Mathematical and Theoretical
dc.journal.volume56
dc.language.isoen
dc.publisherIOPscience
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas::1204 Geometría
dc.subject.keywordsRadial momentumen
dc.subject.keywordsspherical wave kernelen
dc.subject.keywordsmomentum space wave functionsen
dc.subject.keywordsHydrogen atomen
dc.titleWave functions of the Hydrogen atom in the momentum representationen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication5714ca3f-46ee-446a-955c-c7bb72123266
relation.isAuthorOfPublication.latestForDiscovery5714ca3f-46ee-446a-955c-c7bb72123266
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