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Spinors and space-time. Volume 1, Two-spinor calculus and relativistic fields /
This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given h...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
[1986]
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| Colección: | Cambridge monographs on mathematical physics.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 050 | 4 | |a QC173.59.S65 |b P46 1986 | |
| 072 | 7 | |a SCI |x 024000 |2 bisacsh | |
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| 072 | 7 | |a SCI |x 055000 |2 bisacsh | |
| 082 | 0 | 4 | |a 530.11 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Penrose, Roger, |e author. | |
| 245 | 1 | 0 | |a Spinors and space-time. |n Volume 1, |p Two-spinor calculus and relativistic fields / |c Roger Penrose, Wolfgang Rindler. |
| 246 | 3 | 0 | |a Two-spinor calculus and relativistic fields |
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c [1986] | |
| 264 | 4 | |c Ã1984 | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge monographs on mathematical physics | |
| 500 | |a "Reprinted with corrections 1986"--Title page verso | ||
| 504 | |a Includes bibliographical references (pages 435-443) and index. | ||
| 520 | |a This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time. | ||
| 505 | 0 | |a Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 The geometry of world-vectors and spin-vectors -- 1.1 Minkowski vector space -- 1.2 Null directions and spin transformations -- 1.3 Some properties of Lorentz transformations -- 1.4 Null flags and spin-vectors -- 1.5 Spinorial objects and spin structure -- 1.6 The geometry of spinor operations -- 2 Abstract indices and spinor algebra -- 2.1 Motivation for abstract-index approach -- 2.2 The abstract-index formalism for tensor algebra -- 2.3 Bases. | |
| 505 | 8 | |a 2.4 The total reflexivity of 6* on a manifold -- 2.5 Spinor algebra -- 3 Spinors and world-tensors -- 3.1 World-tensors as spinors -- 3.2 Null flags and complex null vectors -- 3.3 Symmetry operations -- 3.4 Tensor representation of spinor operations -- 3.5 Simple propositions about tensors and spinors at a point -- 3.6 Lorentz transformations -- 4 Differentiation and curvature -- 4.1 Manifolds -- 4.2 Covariant derivative -- 4.3 Connection-independent derivatives -- 4.4 Differentiation of spinors -- 4.5 Differentiation of spinor components. | |
| 505 | 8 | |a 4.6 The curvature spinors -- 4.7 Spinor formulation of the Einstein-Cartan-Sciama-Kibble theory -- 4.8 The Weyl tensor and the Bel-Robinson tensor -- 4.9 Spinor form of commutators -- 4.10 Spinor form of the Bianchi identity -- 4.11 Curvature spinors and spin-coefficients -- 4.12 Compacted spin-coefficient formalism -- 4.13 Cartan's method -- 4.14 Applications to 2-surfaces -- 4.15 Spin-weighted spherical harmonics -- 5 Fields in space-time -- 5.1 The electromagnetic field and its derivative operator. | |
| 505 | 8 | |a 5.2 Einstein-Maxwell equations in spinor form -- 5.3 The Rainich conditions -- 5.4 Vector bundles -- 5.5 Yang-Mills fields -- 5.6 Conformal rescalings -- 5.7 Massless fields -- 5.8 Consistency conditions -- 5.9 Conformal invariance of various field quantities -- 5.10 Exact sets of fields -- 5.11 Initial data on a light cone -- 5.12 Explicit field integrals -- Appendix: diagrammatic notation -- References -- Subject and author index -- Index of symbols. | |
| 588 | 0 | |a Online resource; title from digital title page (viewed on December 13, 2019). | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Space and time. | |
| 650 | 0 | |a Spinor analysis. | |
| 650 | 6 | |a Analyse spinorielle. | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a Space and time |2 fast | |
| 650 | 7 | |a Spinor analysis |2 fast | |
| 700 | 1 | |a Rindler, Wolfgang, |d 1924- |e author. | |
| 776 | 0 | 8 | |i Print version: |a Penrose, Roger. |t Spinors and space-time |z 0521245273 |w (DLC) 82019861 |w (OCoLC)877068985 |
| 830 | 0 | |a Cambridge monographs on mathematical physics. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=800941 |z Texto completo |
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| 938 | |a EBSCOhost |b EBSC |n 800941 | ||
| 994 | |a 92 |b IZTAP | ||