A. Bounames, L. Chetouani
Published 2007-12-02Version 1
We solve the one dimensional Feshbach-Villars equation for spin-1/2 particle subjected to a scalar smooth potential. The eight component wave function is given in terms of the hypergeometric functions and via a limiting procedure, the wave functions of the step potential are deduced. These wave functions are used to test the validity of the boundary conditions deduced from the Feshbach-Villars transformation. The creation of pairs is predicted from the boundary condition of the charge density.
Comments: 18 pages, Latex, another title has been used in the published version
Journal: Phys. Lett. A 279 (2001) 139-150
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