Spinors in Four-Dimensional Spaces
Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimen...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| الطبعة: | 1. |
| سلاسل: | Progress in Mathematical Physics
59 |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spinors in four-dimensional spaces, Gerardo F. Torres del Castillo, New York, Birkhäuser, 2010, 1 vol (VIII-177 p.), Progress in mathematical physics, 978-0-8176-4983-8 • Spinors in Four-Dimensional Spaces, Texte imprimé, 9780817649852 |
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| 001 | 943460 | ||
| 008 | 110106q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN149080395 | ||
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| 041 | 0 | |a eng | |
| 082 | |a 512.55 | ||
| 082 | |a 512.482 | ||
| 100 | 1 | |a Torres del Castillo, Gerardo Francisco, |d 1956- | |
| 245 | 1 | 0 | |a Spinors in Four-Dimensional Spaces |c by Gerardo F. Torres del Castillo. |
| 250 | |a 1. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematical Physics |v 59 |x 2197-1846 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 1 Spinor Algebra.-1.1 Orthogonal Groups.-1.2 Null Tetrads and the Spinor Equivalent of a Tensor.-1.3 Spinorial Representation of the Orthogonal Transformations.-1.3.1 Euclidean Signature.-1.3.2 Lorentzian Signature.-1.3.3 Ultrahyperbolic Signature.-1.4 Reflections.-1.5 Clifford Algebra. Dirac Spinors.-1.6 Inner Products. Mate of a Spinor.-1.7 Principal Spinors. Algebraic Classification.-Exercises.-2 Connection and Curvature.-2.1 Covariant Differentiation 2.2 Curvature.-2.2.1 Curvature Spinors.-2.2.2 Algebraic Classification of the Conformal Curvature.-2.3 Conformal Rescalings.-2.4 Killing Vectors. Lie Derivative of Spinors.-Exercises 3 Applications to General Relativity.-3.1 Maxwell s Equations.-3.2 Dirac s Equation .-3.3 Einstein s Equations.-3.3.1 The Goldberg Sachs Theorem.-3.3.2 Space-Times with Symmetries. Ernst Potentials.-3.4 Killing Spinors.-Exercises.-4 Further Applications.-4.1 Self-Dual Yang Mills Fields.-4.2 H and H H Spaces.-4.3 Killing Bispinors. The Dirac Operator.-Exercises.-A Bases Induced by Coordinate Systems.-References | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang Mills theory, are derived in detail using illustrative examples. Key topics and features: Uniform treatment of the spinor formalism for four-dimensional spaces of any signature, not only the usual signature (+ + + ) employed in relativity Examples taken from Riemannian geometry and special or general relativity are discussed in detail, emphasizing the usefulness of the two-component spinor formalism Exercises in each chapter The relationship of Clifford algebras and Dirac four-component spinors is established Applications of the two-component formalism, focusing mainly on general relativity, are presented in the context of actual computations Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide. Reviews from the author's previous book, 3-D Spinors, Spin-Weighted Functions and their Applications: In summary the book gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments. The book should be appealing to graduate students and researchers in relativity and mathematical physics. Mathematical Reviews The present book provides an easy-to-read and unconventional presentation of the spinor formalism for three-dimensional spaces with a definite or indefinite metric...Following a nice and descriptive introduction the final chapter contains some applications of the formalism to general relativity. Monatshefte für Mathematik | ||
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| 776 | 0 | |t Spinors in Four-Dimensional Spaces |b Texte imprimé |z 9780817649852 | |
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