Orbital motion of dipoles in electromagnetic fields
Abstract
As a highly accurate model of a particle with magnetic moment, the Dirac equation for an electron in a pure magnetic field was used. In this case the Dirac equation may be transformed exactly into the FoldyWouthuysen representation. Using the transformed Hamiltonian, the Heisenberg equations of motion were derived. The results obtained exhibit in a transparent way and a feature which is the inclusion of the magnetic orientation energy in the inertial mass of an electron. In addition, the gyromagnetic ratio is modified by a factor of the rest mass divided by the modified mass. This result differs significantly from the results of the classical relativistic theory in which the inertial mass of a particle includes the kinetic energy only. A different method to obtain a classical limit from a quantum theory is by asymptotic expansion of the wave function.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........92M
 Keywords:

 Electric Dipoles;
 Electromagnetic Fields;
 Magnetic Dipoles;
 Dirac Equation;
 Equations Of Motion;
 Hamiltonian Functions;
 Kinetic Energy;
 Quantum Theory;
 Relativistic Theory;
 Wave Functions;
 Fluid Mechanics and Heat Transfer