Babin, Anatoli
Neoclassical Theory of Electromagnetic Interactions
1. Introduction
Anatoli Babin, Alexander Figotin
2. The History of Views on Charges, Currents and the Electromagnetic Field
Anatoli Babin, Alexander Figotin
3. The Neoclassical Field Theory of Charged Matter: A Concise Presentation
Anatoli Babin, Alexander Figotin
Part I. Classical Electromagnetic Theory and Special Relativity
4. The Maxwell Equations
Anatoli Babin, Alexander Figotin
5. Dipole Approximation for Localized Distributed Charges
Anatoli Babin, Alexander Figotin
6. The Minkowski Four-Dimensional Spacetime and Relativistic Kinematics
Anatoli Babin, Alexander Figotin
7. Longitudinal and Transversal Fields
Anatoli Babin, Alexander Figotin
8. Non-relativistic Quasistatic Approximations
Anatoli Babin, Alexander Figotin
9. Electromagnetic Field Lagrangians
Anatoli Babin, Alexander Figotin
Part II. Classical Field Theory
10. Variational Principles, Lagrangians, Field Equations and Conservation Laws
Anatoli Babin, Alexander Figotin
11. Lagrangian Field Formalism for Charges Interacting with EM Fields
Anatoli Babin, Alexander Figotin
12. Lagrangian Field Formalism for Balanced Charges
Anatoli Babin, Alexander Figotin
13. Lagrangian Field Formalism for Dressed Charges
Anatoli Babin, Alexander Figotin
Part III. The Neoclassical Theory of Charges
14. Rest and Time-Harmonic States of a Charge
Anatoli Babin, Alexander Figotin
15. Uniform Motion of a Charge
Anatoli Babin, Alexander Figotin
16. Accelerating Wave-Corpuscles
Anatoli Babin, Alexander Figotin
17. Interaction Theory of Balanced Charges
Anatoli Babin, Alexander Figotin
18. Relation to Quantum Mechanical Models and Phenomena
Anatoli Babin, Alexander Figotin
19. The Theory of Electromagnetic Interaction of Dressed Charges
Anatoli Babin, Alexander Figotin
20. Comparison of EM Aspects of Dressed and Balanced Charges Theories
Anatoli Babin, Alexander Figotin
Part IV. The Neoclassical Theory of Charges with Spin
21. Introduction
Anatoli Babin, Alexander Figotin
22. The Dirac Equation
Anatoli Babin, Alexander Figotin
23. Basics of Spacetime Algebra (STA)
Anatoli Babin, Alexander Figotin
24. The Dirac Equation in the STA
Anatoli Babin, Alexander Figotin
25. The Basics of the Neoclassical Theory of Charges with Spin 1/2
Anatoli Babin, Alexander Figotin
26. Neoclassical Free Charge with Spin
Anatoli Babin, Alexander Figotin
27. Neoclassical Solutions: Interpretation and Comparison with the Dirac Theory
Anatoli Babin, Alexander Figotin
28. Clifford and Spacetime Algebras
Anatoli Babin, Alexander Figotin
29. Multivector Calculus
Anatoli Babin, Alexander Figotin
30. Relativistic Concepts in the STA
Anatoli Babin, Alexander Figotin
31. Electromagnetic Theory in the STA
Anatoli Babin, Alexander Figotin
32. The Wave Function and Local Observables in the STA
Anatoli Babin, Alexander Figotin
33. Multivector Field Theory
Anatoli Babin, Alexander Figotin
Part V. Mathematical Aspects of the Theory of Distributed Elementary Charges
34. Trajectories of Concentration
Anatoli Babin, Alexander Figotin
35. Energy Functionals and Nonlinear Eigenvalue Problems
Anatoli Babin, Alexander Figotin
Part VI. Appendices
36. Elementary Momentum Equation Derivation for NKG
Anatoli Babin, Alexander Figotin
37. Fourier Transforms and Green Functions
Anatoli Babin, Alexander Figotin
38. Splitting of a Field into Gradient and Sphere-Tangent Parts
Anatoli Babin, Alexander Figotin
39. Hamilton–Jacobi Theory
Anatoli Babin, Alexander Figotin
40. Point Charges in a Spatially Homogeneous Electric Field
Anatoli Babin, Alexander Figotin
41. Statistical and Wave Viewpoints in Hamilton–Jacobi Theory
Anatoli Babin, Alexander Figotin
42. Almost Periodic Functions and Their Time-Averages
Anatoli Babin, Alexander Figotin
43. Vector Formulas
Anatoli Babin, Alexander Figotin
44. The Helmholtz Decomposition
Anatoli Babin, Alexander Figotin
45. Gaussian Wave Packets
Anatoli Babin, Alexander Figotin
Avainsanat: Mathematics, Partial Differential Equations, Mathematical Applications in the Physical Sciences, Mathematical Methods in Physics, Optics and Electrodynamics, Elementary Particles, Quantum Field Theory, Nonlinear Dynamics
- Tekijä(t)
- Babin, Anatoli
- Figotin, Alexander
- Julkaisija
- Springer
- Julkaisuvuosi
- 2016
- Kieli
- en
- Painos
- 1
- Sarja
- Theoretical and Mathematical Physics
- Sivumäärä
- 23 sivua
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9781447172840
- Painetun ISBN
- 978-1-4471-7282-6