TY - BOOK AU - Bagrov,Vladislav G. AU - Gitman,Dmitry TI - Dirac equation and its solutions T2 - De Gruyter studies in mathematical physics SN - 9783110262926 (hd. bd.) U1 - 530.124 23 PY - 2014/// CY - Berlin PB - De Gruyter KW - Dirac equation KW - Quantum field theory KW - Wave equation N1 - Includes bibliographical references and index; 1. Introduction -- 2. Relativistic equations of motion -- 3. Basic exact solutions -- 4. Particles in fields of special structure -- 5. Dirac-pauli equation and its solutions -- 6. Propagators of relativistic particles -- 7. Electron interacting with a quantized electromagnetic plane wave -- 8. Spin equation and its solutions -- 9. One-dimensional schrodinger equation and its solutions -- 10. Coherent states -- Appendices N2 - The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics, representing the one-particle wave equation of motion for electrons in an external electromagnetic field. 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 ER -