The Schwinger formula revisited II (a mathematical treatment).

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Title:	The Schwinger formula revisited II (a mathematical treatment).
Author:	Haro Cases, Jaume
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
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.
Subject(s):	-Differential equations -Mathematical topics -Quantum theory -Pair production -Schwinger’s formula -W.K.B. method -Equacions diferencials -- Teoria asimptòtica -Quàntums, Teoria dels -Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory -Classificació AMS::81 Quantum theory::81Q General mathematical topics and methods in quantum theory
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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