The Schwinger formula revisited II (a mathematical treatment).

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Haro Cases, Jaume
dc.date	2003
dc.identifier.uri	http://hdl.handle.net/2117/852
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Differential equations
dc.subject	Mathematical topics
dc.subject	Quantum theory
dc.subject	Pair production
dc.subject	Schwinger’s formula
dc.subject	W.K.B. method
dc.subject	Equacions diferencials -- Teoria asimptòtica
dc.subject	Quàntums, Teoria dels
dc.subject	Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory
dc.subject	Classificació AMS::81 Quantum theory::81Q General mathematical topics and methods in quantum theory
dc.title	The Schwinger formula revisited II (a mathematical treatment).
dc.type	info:eu-repo/semantics/article
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.