Abstract

VILLALBA, V. M. Particle production by a spatially homogeneous time-dependent electric field. Rev. mex. fis. [online]. 2006, vol.52, suppl.3, pp.98-101. ISSN 0035-001X.

We discuss the mechanism of production of positrons and electrons by a spatially homogeneous time-dependent electric field whose amplitude vanishes for large values of time. Using the Hamiltonian diagonalization technique, we compute the density of particles created as a function of time. We show that, as the time parameter goes to infinity, the distribution of pair created by the electric field reduces to the result calculated via the Bogoliubov coefficients.

Keywords : Particle production; Dirac equation.