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
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
Alina V. Ivashkevich is a Researcher at the B.I. Stepanov Istitute of Physics, National Academy of Sciences of Belarus, Department of Fundamental Interactions and Astrophysics.
Elena M. Ovsiyuk is the chair of the Department of Theoretical Physics and Applied Informatics at Mozyr State Pedagogical University, Belarus.
Anton V. Bury is a Researcher at the B.I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Department of Fundamental Interactions and Astrophysics.
Aleksander V. Chichurin is a Professor in the Department of Mathematical Modeling, Institute of Mathematics, Informatics and Landscape Architecture, The John Paul II Catholic University of Lublin, Poland.
Vasily V. Kisel is a Researcher at the Department of Theoretical Physics and Applied Informatics, Mozyr State Pedagogical University, Belarus.
Viktor M. Redkov is a Professor and chief Researcher at the B.I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Department of Fundamental Interactions and Astrophysics.
