Maxwell Electrodynamics and Boson Fields in Spaces of Constant Curvature de E. M. Ovsiyuk

Maxwell Electrodynamics and Boson Fields in Spaces of Constant Curvature

E. M. Ovsiyuk

V. V. Kisel

V. M. Redkov

In this book detailed analytical treatment and exact solutions are given to a number of problems of classical electrodynamics and boson field theory in simplest non-Euclidean space-time models, open Bolyai and Lobachevsky space H3 and closed Riemann space S3, and (anti) de Sitter space-times. The main attention is focused on new themes created by non-vanishing curvature in the following topics: electrodynamics in curved spacetime and modelling of the media, MajoranaOppenheimer approach in curved space time, spin 1 field theory, tetrad based DuffinKemmer-Petiau formalism, SchrödingerPauli limit, DiracKähler particle, spin 2 field, anomalous magnetic moment, plane wave, cylindrical, and spherical solutions, spin 1 particle in a magnetic field, spin 1 field and cosmological radiation in de Sitter space-time, electromagnetic field and Schwarzschild black hole.

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Cuprins

Introduction; Maxwell Equations, Geometry Effects on Constitutive Relations; Electrodynamics, Complex Rotation Group, Media, Gravity; DiracKahler Field Theory, 2-Potential Approach to Electrodynamics; 10-Dimensional Matrix Approach; DiracKahler Theory, Relation between Spinor & Tensor Formulations; Graviton in a Curved Space-Time Background & Gauge Symmetry; Particle with Spin 2 & Anomalous Magnetic Moment; Spherical Solutions for DiracKahler & Dirac Particles; Electromagnetic Spherical Solutions in Models S3 & H3; 10-Dimensional Spherical Solutions in Riemann space S3; Solutions with Cylindric Symmetry in Spherical Space; Solutions with Cylindric Symmetry in Lobachevsky Space; On Simulating a Medium with Special Properties by Lobachevsky Geometry; Maxwell Equations, Squaring Procedure, & Separation of the Variables; Helicity Operator & Spin 1 Field in Lobachevsky & Rieman Models; Spin 1 Particle in the Coulomb Field; Particle with Spin 1 in a Magnetic Field; Particle with Spin 1 in a Magnetic Field on the Hyperbolic Plane; Particle with Spin 1 in a Magnetic Field on the Spherical Plane; Electromagnetic Waves in de Sitter Space-Time; Spherical Waves of Spin 1 Particle in Anti de Sitter Space-Time; Calculation of the Reflection Coefficient for Particles in de Sitter Space; On Solutions of Maxwell Equations in the Schwarzschild Space-Time; Conclusions & Summaries; Bibliography; Index.