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dc.contributor.authorHaro Cases, Jaume
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractIn 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.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshDifferential equations
dc.subject.lcshMathematical topics
dc.subject.lcshQuantum theory
dc.subject.otherPair production
dc.subject.otherSchwinger’s formula
dc.subject.otherW.K.B. method
dc.titleThe Schwinger formula revisited II (a mathematical treatment).
dc.subject.lemacEquacions diferencials -- Teoria asimptòtica
dc.subject.lemacQuàntums, Teoria dels
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34E Asymptotic theory
dc.subject.amsClassificació AMS::81 Quantum theory::81Q General mathematical topics and methods in quantum theory
dc.rights.accessOpen Access

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Attribution-NonCommercial-NoDerivs 2.5 Spain
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