dc.contributor.author Haro Cases, Jaume dc.contributor.other Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I dc.date.accessioned 2007-05-02T18:19:41Z dc.date.available 2007-05-02T18:19:41Z dc.date.created 2003 dc.date.issued 2003 dc.identifier.uri http://hdl.handle.net/2117/852 dc.description.abstract In this paper we study the production of pairs in no-analytic potentials. It is a well-known fact that, when the potential is analytic the average number of produced pairs is exponentially small in ?. On the other hand, when the potential is no-analytic, using the W.K.B. method, we prove that the average number of produced pairs is ?????, where ? is the regularity of the potential and ? is the fine structure constant. Finally, we give a rigorous proof of the Schwinger’s formula. dc.format.extent 16 dc.language.iso eng dc.rights Attribution-NonCommercial-NoDerivs 2.5 Spain dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/2.5/es/ dc.subject.lcsh Differential equations dc.subject.lcsh Mathematical topics dc.subject.lcsh Quantum theory dc.subject.other Pair production dc.subject.other Schwinger’s formula dc.subject.other W.K.B. method dc.title The Schwinger formula revisited II (a mathematical treatment). dc.type Article dc.subject.lemac Equacions diferencials -- Teoria asimptòtica dc.subject.lemac Quàntums, Teoria dels dc.subject.ams Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory dc.subject.ams Classificació AMS::81 Quantum theory::81Q General mathematical topics and methods in quantum theory dc.rights.access Open Access local.personalitzacitacio true
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