Physics – Quantum Physics
Scientific paper
2007-02-14
Rev.Bras.Ens.Fis.29:203-208,2007
Physics
Quantum Physics
12 pages, in Portuguese
Scientific paper
The one-dimensional Klein-Gordon equation is investigated with the most general Lorentz structure for the external potentials. The analysis of the scattering of particles in a step potential with an arbitrary mixing of vector and scalar couplings reveals that the scalar coupling contributes for increasing the threshold energy for the particle-antiparticle pair production. Furthermore, it is shown that the pair production is only feasible whether the vector coupling exceeds the scalar one. An apparent paradox concerning the localization of a particle in an arbitrarily small region of space, due to the presence of the scalar coupling, is solved by introducing the concept of effective Compton wavelength.
Cardoso Tatiana R.
de Castro Antonio Soares
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