Free Delivery Over $100
|
|
|||
|
||||
OverviewThis 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 algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equationscontaining, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein–Dirac equations, nonlinear Heisenberg’s spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties. Full Product DetailsAuthor: Vladimir A. ZhelnorovichPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2019 Weight: 0.776kg ISBN: 9783030278359ISBN 10: 3030278352 Pages: 392 Publication Date: 06 November 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsSpinors 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.- BibliographyReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
