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Spinors and Space-Time
Abstract
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.
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“For those who are accustomed to using the spinorial description of relativistic particles, the photon wave function is a familiar object. It is the self-dual (or anti self-dual) part of the electromagnetic field tensor (cf. Ref. [29]).”
From On the Wave Function of the Photon (1994) · cites this paper as [29]
In the citing paper
“In. the spinorial formalism, our observation that in curved space both helicities propagate without mixing is a simple consequence of the fact that both spinors φAB and φA'B' satisfy separate equations of the form [29]”
From On the Wave Function of the Photon (1994) · cites this paper as [29]
In the citing paper
“3. classical Dirac fields [necessarily] (Penrose and Rindler 1984)”
From A Primer on Energy Conditions (2017) · cites this paper as Penrose and Rindler 1984
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Metadata
- Authors
- Penrose, R., & Rindler, W.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1984-10-18
- OpenAlex
- W1789645782
- Cited by
- 2,172
- References
- 0
- Citations by year
- 2026: 42 · 2025: 47 · 2024: 36 · 2023: 62 · 2022: 66 · 2021: 82 · 2020: 50 · 2019: 54 · 2018: 55 · 2017: 53 · 2016: 63 · 2015: 55 · 2014: 69 · 2013: 76 · 2012: 60
- FWCI
- 14.09
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Mathematics › Applied Mathematics › Algebraic and Geometric Analysis
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Keywords
- spinor calculus, spacetime structure, general relativity, differential geometry
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