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Dirac equation and its solutions / Vladislav G. Bagrov and Dmitry Gitman.

By: Contributor(s): Material type: TextTextSeries: De Gruyter studies in mathematical physics ; v 4.Publication details: Berlin : De Gruyter, 2014.Description: xi, 430 p. ; 25 cmISBN:
  • 9783110262926 (hd. bd.)
Subject(s): DDC classification:
  • 530.124 23 B148
Contents:
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.
Summary: 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.
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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.

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.

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