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The Schwinger formula revisited II (a mathematical treatment).
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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