On the Levinson theorem for Dirac operators

dc.contributorVirginia Techen
dc.contributor.authorKlaus, Martinen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:24Zen
dc.date.available2014-04-09T18:12:24Zen
dc.date.issued1990-01en
dc.description.abstractFor the Dirac equation with potential V(r) obeying ∫∞ 0(1+r)‖V(r)‖d r<∞ we prove a relativistic version of Levinson’s theorem that relates the number of bound states in the spectral gap [−m,m] to the variation of an appropriate phase along the continuous part of the spectrum. In the process, the asymptotic properties of the Jost function as E→±m are analyzed in detail. The connection with the nonrelativistic version of Levinson’s theorem is also established.en
dc.identifier.citationKlaus, M., "On the Levinson theorem for Dirac operators," J. Math. Phys. 31, 182 (1990); http://dx.doi.org/10.1063/1.528858en
dc.identifier.doihttps://doi.org/10.1063/1.528858en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47071en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/31/1/10.1063/1.528858en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectdirac equationen
dc.subjectnumber theoryen
dc.subjectoperator theoryen
dc.subjectbound statesen
dc.titleOn the Levinson theorem for Dirac operatorsen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
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