Renormalization group invariance of quantum mechanics

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dc.contributor.authorFrederico, T.
dc.contributor.authorDelfino, A.
dc.contributor.authorTomio, L.
dc.contributor.institutionCTA
dc.contributor.institutionUniversidade Federal Fluminense (UFF)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:08:04Z
dc.date.available2014-05-20T14:08:04Z
dc.date.issued2000-05-18
dc.description.abstractWe propose a framework to renormalize the nonrelativistic quantum mechanics with arbitrary singular interactions. The scattering equation is written to have one or more subtraction in the kernel at a given energy scale. The scattering amplitude is the solution of a nth order derivative equation in respect to the renormalization scale, which is the nonrelativistic counterpart of the Callan-Symanzik formalism, Scaled running potentials for the subtracted equations keep the physics invariant fur a sliding subtraction point. An example of a singular potential, that requires more than one subtraction to renormalize the theory is shown. (C) 2000 Published by Elsevier B.V. B.V. All rights reserved.en
dc.description.affiliationCTA, Inst Tecnol Aeronaut, Dept Fis, BR-12228900 Sao Jose Dos Campos, Brazil
dc.description.affiliationUniv Fed Fluminense, Inst Fis, BR-24210900 Niteroi, RJ, Brazil
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.format.extent143-150
dc.identifierhttp://dx.doi.org/10.1016/S0370-2693(00)00437-8
dc.identifier.citationPhysics Letters B. Amsterdam: Elsevier B.V., v. 481, n. 1, p. 143-150, 2000.
dc.identifier.doi10.1016/S0370-2693(00)00437-8
dc.identifier.issn0370-2693
dc.identifier.urihttp://hdl.handle.net/11449/23868
dc.identifier.wosWOS:000087213400021
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofPhysics Letters B
dc.relation.ispartofjcr4.254
dc.relation.ispartofsjr2,336
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectrenormalizationpt
dc.subjectrenormalization grouppt
dc.subjectnonrelativistic scattering theorypt
dc.titleRenormalization group invariance of quantum mechanicsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.orcid0000-0002-5497-5490[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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