Eliade STEFANESCU1
Abstract. In this paper, we obtain the quantum dynamics in the framework of the general theory of relativity, where a quantum particle is described by a distribution of matter, with amplitude functions of the matter density, in the two conjugate spaces of the spatial coordinates and of the momentum, called wave functions. For a free particle, these wave functions are conjugate wave packets in the coordinate and momentum spaces, with time dependent phases proportional to the relativistic lagrangian, as the wave velocities in the coordinate space are equal to the distribution velocity described by the wave packet in this space. From the wave velocities of the particle wave functions, we obtain lorentz’s force and the maxwell equations. For a quantum particle in electromagnetic field, we obtain dynamic equations in the coordinate and momentum spaces, and the particle and antiparticle wave functions. We obtain the scattering or tunneling rate in an electromagnetic field, for the two possible cases, with the spin conservation, or inversion.
Keywords: Quantum particle, wave/group velocity, spinor, fermi’s golden rule, scattering
DOI 10.56082/annalsarsciphyschem.2022.1.7
1 Prof. PhD, Advanced Studies in Physics Centre of the Romanian Academy, Academy of Romanian Scientists, Bucharest, Romania (e-mail: eliadestefanescu@yahoo.fr). mocanu.aurora@gmail.com
PUBLISHED in Annals of the Academy of Romanian Scientists Series on Physics and Chemistry, Volume 7, No1