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Full Description
Extended Equations for Particles: Spin, General Theory and Exact Solution presents a unified theoretical framework for understanding relativistic wave equations describing particles with spins S = 0, 1/2, 1 and additional internal electromagnetic structure. Through mathematical analysis and physical interpretation, the book bridges fundamental concepts across quantum field theory, relativistic quantum mechanics, and electromagnetic theory. The text introduces methodologies for developing new relativistic systems of equations that describe particles with electromagnetic characteristics beyond electric charge.
Readers will find detailed examinations of the Dirac-Kähler particle and Stueckelberg particle in various external field configurations, including Coulomb, uniform magnetic, and electric fields. Designed as both a reference for researchers and a pedagogical resource for advanced undergraduate and graduate students, this book provides a mathematically rigorous yet accessible treatment of complex theoretical physics concepts. The unified methodological approach presented throughout makes this a useful contribution to the field of relativistic quantum theory.
Key Features:
Develops an innovative approach that connects quantum field theory, relativistic quantum mechanics, and electromagnetic theory.
Makes complex interdisciplinary concepts accessible while maintaining the mathematical rigor essential for advanced research.
Serves as a cutting-edge reference for active researchers and an accessible pedagogical resource for advanced students.
Contents
1. Dirac - Kähler field, and the Boson Fields 2. Stueckelberg Particle in the Coulomb Field, Non-relativistic Approximation 3. Stueckelberg Particle in Magnetic Field 4. Stueckelberg Particle in Electric Field 5. Massless Stueckelberg Field, Solutions with Spherical Symmetry 6. Massless Stueckelberg Field, Solutions in Cartesian Coordinates 7. Massless Stueckelberg Particle, Cylindrical Symmetry, Gauge Degrees of Freedom 8. The Ogievetsky - Polubarinov - Kalb - Ramond Field, Solutions in Cartesian Coordinates 9. Maxwell Field 10. Ogievetsky - Polubarinov - Kalb - Ramond Field, Cylindrical Symmetry 11. Solutions with Spherical Symmetry, the Gauge Degrees of Freedom 12. Dirac - Kähler Particle in the External Magnetic Field 13. Dirac - Kähler Particle in the Uniform Electric Field 14. Dirac - Kähler Particle in Presence of Both Magnetic and Electric Fields 15. Vector Particle with Polarizability in the Uniform Magnetic Field 16. Spin 1 Particle with Anomalous Magnetic Moment and Polarizability 17. Spin 1 Particle with Additional Characteristics in Magnetic Field 18. Scalar Particle with the Cox Structure and Polarizability 19. Scalar Particle with the Cox Structure and Polarizability, in Magnetic Field 20. Spin 1/2 Particle with Anomalous Magnetic Moment and polarizability 21.Spin 1/2 Particle with two Characteristics in Magnetic Field
