Show simple item record

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

Files in this item


This item appears in the following Collection(s)

Show simple item record

Except where otherwise noted, content on this work is licensed under a Creative Commons license: Attribution-NonCommercial-NoDerivs 2.5 Spain