Theory of Spinors and Its Application in Physics and Mechanics

• Main Author: Zhelnorovich, Vladimir A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Physics.; Elementary particles (Physics).; Quantum field theory.; Cosmology.; Mathematical physics.; Algebraic geometry.; Mathematical Methods in Physics.; Elementary Particles, Quantum Field Theory.; Mathematical Physics.; Algebraic Geometry.

This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant al...

Table of Contents:

• Spinors in Finite-Dimensional Euclidean Spaces
• Spinor Fields in a Riemannian Space
• Spinors in the Four-Dimensional Pseudo-Euclidean Space
• Spinors in Three-Dimensional Euclidean Spaces
• Tensor Forms of Differential Spinor Equations
• Exact Solutions of the Nonlinear Spinor Equations
• A. Relativistic Models of Spin Fluids in Electromagnetic Field
• B. Proper Bases and Invariant Internal Energy in the Theory of Electromagnetic Field
• C. The Bilinear Identities Connecting the Dirac Matrices
• Bibliography.