The semiclassical theory of quantized fields in classical electromagnetic backgrounds
J. Haro
Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain, e-mail: jaime.haro@upc.es.
Recibido el 9 de febrero de 2004. ]]> Aceptado el 17 de mayo de 2004.
Abstract
We formulate mathematically the process of pair production in electromagnetic fields for spinless particles. We compute the probability that n pairs are created in the semiclassical approximation, and herein we prove that the pair creation phenomenon is a stochastic Poisson process. Finally, we prove rigorously and interpret suitably the Schwinger formula.
Keywords: Pair production; Schwinger's formula; semiclassical approach.
Resumen
Damos la formulación matemática del proceso de creación de pares de partículas sin spin en campos electromagnéticos. Calculamos la probabilidad de que se creen n pares en la aproximación semiclásica, y probamos, en esta aproximación, que la creación de pares es un proceso estocástico de Poisson. Finalmente, damos una demostración rigurosa y una interpretación correcta de la fórmula de Schwinger.
Descriptores: Creación de pares; fórmula de Schwinger; aproximación semiclásica.
]]> PACS: 03.65.Sq; 11.10.-z; 12.20.-m
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Acknowledgements
This paper is partially supported by the project BFM2002-04613-C03-01 of the MCyT, Spain.
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