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Elementary Particles with Internal Structure in External Fields. Vol I. General Theory
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Authors: Vasiliy Vasilievich Kisel, Elena Mikhaylovna Ovsiyuk, Olga Vladimirovna Beko, Yana Aleksandrovna Voynova, Vladimir Balan, and Viktor Mikhaylovich Red’kov (Institute of Physics, National Academy of Sciences of Belarus, University Polithechnica of Bucharest 
Book Description:
The book represents the systematical development of several rarely used or new mathematical techniques to construct new wave equations for elementary particles. On this ground, it develops the quantum mechanics of the particles with additional electromagnetic structures in the presence of external electromagnetic fields, and, concerning the curved space-time background, it details many new solvable problems in the field. Volume I of this book is devoted to studying the mathematical formalism of the generalized theory of relativistic wave equations, which permits the construction of new equations for particles with an intrinsic spectrum of the spin, mass, and a number of additional electromagnetic characteristics, which lead to additional physical effects in the presence of external fields (electromagnetic and gravitational). The main theoretical tools are: The theory of the Lorentz group; the wave equations and the Gel’fand–Yaglom canonical basis; the Lagrangian formulation of the theory; the minimal polynomials approach; the projective operators technique; and the definiteness of energy and charge. Primary attention is focused on the possibility of constructing different relativistic wave equations for particles with a fixed value of spin and mass, proving that such wave equations describe substantially different objects. These equations possess some intrinsic electromagnetic structures in addition to the electric charge, and this leads to physical effects in the presence of external – electromagnetic and gravitational – fields. Extended models for particles of spins 0, 1/2, 1, 3/2, and 2 are developed. (Nova)

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Table of Contents:


Chapter 1. Relativistic Wave Equations Theory, Main Regulations (pp. 1-30)

Chapter 2. Minimal Polynomials and Projective Operators (pp. 31-46)

Chapter 3. Development of the Gel’fand–Yaglom Approach (pp. 47-60)

Chapter 4. Simplest Wave Equations for Particles (pp. 61-74)

Chapter 5. Different Equations for Free Particles, their Equivalence (pp. 75-140)

Chapter 6. Non-equivalence of Equations in Presence of Electromagnetic Fields (pp. 141-188)

Chapter 7. Spin 1/2 Particle with Two Mass States (pp. 189-224)

Chapter 8. Spin 1/2 and Spin 1 Particles with Anomalous Magnetic Moment in Presence of Gravitational Fields (pp. 225-268)

Chapter 9. Spin 1 and Spin 0 Particles with Polarizability in Gravitational Field (pp. 269-316)

Chapter 10. Spin 3/2 Particle in Riemannan Space-Time (pp. 317-326)

Chapter 11. On Equations for Spin 2 Particle in Presence of Gravitational Fields (pp. 327-358)

Chapter 12. Particle with Spin 2 and Anomalous Magnetic Moment (pp. 359-366)

References (pp. 367-398)

About the Authors (pp. 399-400)

Index (pp. 401)

Total Pages: 404

      Computational Mathematics and Analysis
   Binding: Hardcover
   Pub. Date: 2018 - February
   ISBN: 978-1-53613-108-6
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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Elementary Particles with Internal Structure in External Fields. Vol I. General Theory