Evolution of mixed particles interacting with classical sources

Systems of scalar and spinor particles that underwent mixing and which originated from external classical sources were investigated. Particle wave functions that take exactly into account external sources were obtained on the basis of solving Lorentz-invariant wave equations in four-dimensional space. Sources localized in space that emit harmonic radiation were considered. It was found that, owing to the presence of vacuum mixing, the scalar and spinor fields in question might oscillate—that is, go over to one another. It was shown that this phenomenon was analogous to neutrino flavor oscillations in a vacuum, since the calculated transition probabilities were coincidentwith their counterparts for neutrino oscillations. The situation of an arbitrarymassmatrix (that is, that which involved bothDirac andMajoranamass terms) was studied for the case of spinor-field evolution. The possibility of the appearance of antiparticles in a beam that originally involved only particles was analyzed. The question of whether the use of this method in describing neutrino flavor oscillations is legitimate was studied.