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 equations
II. Solutions in physically important fields
III. Charge in Aharonov-Bohm field and its combinations with some additional fields
IV. Solutions in more general fields
V. Dirac-Pauli equation
VI. Charged particles in quantized plane-wave field
VII. Attendant equations and their solutions
Subject Index
Bibliography