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dc.provenanceCONICET-
dc.creatorAmore, Paolo-
dc.creatorFernández, Francisco Marcelo-
dc.date2018-11-06T18:40:57Z-
dc.date2018-11-06T18:40:57Z-
dc.date2017-10-
dc.date2018-10-22T22:33:04Z-
dc.date.accessioned2019-04-29T15:38:33Z-
dc.date.available2019-04-29T15:38:33Z-
dc.date.issued2017-10-
dc.identifierAmore, Paolo; Fernández, Francisco Marcelo; A quantum-mechanical anharmonic oscillator with a most interesting spectrum; Academic Press Inc Elsevier Science; Annals of Physics (New York); 385; 10-2017; 1-9-
dc.identifier0003-4916-
dc.identifierhttp://hdl.handle.net/11336/63793-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/298334-
dc.descriptionWe revisit the problem posed by an anharmonic oscillator with a potential given by a polynomial function of the coordinate of degree six that depends on a parameter λ. The ground state can be obtained exactly and its energy E0=1 is independent of λ. This solution is valid only for λ>0 because the eigenfunction is not square integrable otherwise. Here we show that the perturbation series for the expectation values are Padé and Borel–Padé summable for λ>0. When λ<0 the spectrum exhibits an infinite number of avoided crossings at each of which the eigenfunctions undergo dramatic changes in their spatial distribution that we analyse by means of the expectation values 〈x2〉.-
dc.descriptionFil: Amore, Paolo. Universidad de Colima; México-
dc.descriptionFil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherAcademic Press Inc Elsevier Science-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.aop.2017.07.007-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003491617301963-
dc.rightsinfo:eu-repo/semantics/restrictedAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/63793-
dc.subjectANHARMONIC OSCILLATOR-
dc.subjectAVOIDED CROSSINGS-
dc.subjectPADÉ SUMMATION-
dc.subjectPERTURBATION THEORY-
dc.subjectQUASI-EXACTLY SOLVABLE-
dc.subjectOtras Ciencias Químicas-
dc.subjectCiencias Químicas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleA quantum-mechanical anharmonic oscillator with a most interesting spectrum-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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