Scattering and pair production by a potential barrier

Details Scattering and pair production by a potential barrier Scattering and pair production by a potential barrier

2003-04-21

arxiv.org/abs/hep-th/0304174v1

Phys.Atom.Nucl. 67 (2004) 1478-1486; Yad.Fiz. 67 (2004) 1503-1511

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LATEX 2e, no figures

Scientific paper

10.1134/1.1788038

Scattering and electron-positron pair production by a one-dimensional potential is considered in the framework of the $S-$matrix formalism. The solutions of the Dirac equation are classified according to frequency sign. The Bogoliubov transformation relating the in- and out-states are given. We show that the norm of a solution of the wave equation is determined by the largest amplitude of its asymptotic form when $x_3\to \pm\infty$. For a number of potentials we give the explicit expressions for the complete in- and out-sets of orthonormalized wave functions. We note that in principle virtual vacuum processes in external field influence the phase of wave function of scattered particle..

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