The Dirac Equation and its Solutions

The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly.In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.

Auteur

Vladislav Bagrov, Tomsk State University, Russia; Dmitry Gitman, University of Sao Paulo, Brazil.

Contenu
I. Relativistic wave equationsII. Solutions in physically important fieldsIII. Charge in Aharonov-Bohm field and its combinations with some additional fieldsIV. Solutions in more general fieldsV. Dirac-Pauli equationVI. Charged particles in quantized plane-wave fieldVII. Attendant equations and their solutionsSubject IndexBibliography