The Dirac Equation and its Solutions
Seiten
2014
De Gruyter (Verlag)
978-3-11-026292-6 (ISBN)
De Gruyter (Verlag)
978-3-11-026292-6 (ISBN)
The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.
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.
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.
Vladislav Bagrov, Tomsk State University, Russia; Dmitry Gitman, University of Sao Paulo, Brazil.
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
| Erscheint lt. Verlag | 30.6.2014 |
|---|---|
| Reihe/Serie | De Gruyter Studies in Mathematical Physics ; 4 |
| Zusatzinfo | 20 b/w ill. |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 880 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Dirac equation • Dirac Equation; Quantum Electrodynamics; Relativistic Quantum Mechanics • Dirac Gleichung • Quantenelektrodynamik • Quantenmechanik • quantum electrodynamics • Relativistic Quantum Mechanics • Relativistische Quantenmechanik |
| ISBN-10 | 3-11-026292-4 / 3110262924 |
| ISBN-13 | 978-3-11-026292-6 / 9783110262926 |
| Zustand | Neuware |
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