Revisión

 

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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