Electromagnetic Interactions in Relativistic Infinite Component Wave Equations.
Abstract
A way of making a minimal relativistic generalization of the minimal interactions in the nonrelativistic equation for the hydrogen atom is proposed. In order to calculate the effects of the relativistic minimal interactions so introduced, a covariant perturbation theory suitable for infinite component wave equations, which is an algebraic and relativistic version of the RayleighSchroedinger perturbation theory was developed. By utilizing the developed perturbation technique, the electric and magnetic polarizabilities for the ground state of the hydrogen atom were calculated. It was shown that the results do have the correct nonrelativistic limits. The problem of interactions with a radiation field were considered. Directly applying the Smatrix formalism in field theory to the infinite component theoretic treatment of the interactions, the relativistic cross section of photon absorption by the atom was evaluated.
 Publication:

Ph.D. Thesis
 Pub Date:
 1979
 Bibcode:
 1979PhDT........62G
 Keywords:

 Physics: Elementary Particles and High Energy;
 Composite Functions;
 Electromagnetic Interactions;
 Infinity;
 Perturbation Theory;
 Relativistic Plasmas;
 Wave Equations;
 Electromagnetic Absorption;
 Hydrogen;
 Radiation Distribution;
 Scattering Cross Sections;
 Communications and Radar