Clifford Algebras
A Computational Tool for Physicists
Seiten
1997
Oxford University Press Inc (Verlag)
978-0-19-509824-2 (ISBN)
Oxford University Press Inc (Verlag)
978-0-19-509824-2 (ISBN)
This book, aimed at beginning graduate students in physics and mathematics, introduces readers to the techniques of Clifford algebras.
Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Its applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at the other. Clifford algebras have become a virtual necessity in some areas of physics and their use is expanding in other areas; for example, in algebraic manipulations involving Dirac matrices in quantum thermodynamics, in Kaluza-Klein theories and dimensional renormalization theories, and in the formation of superstring theories.
The book is aimed at beginning graduate physics and math students learning mathematical physics, relativity, quantum physics, or applied mathematics; and mathematical physicists.
Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Its applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at the other. Clifford algebras have become a virtual necessity in some areas of physics and their use is expanding in other areas; for example, in algebraic manipulations involving Dirac matrices in quantum thermodynamics, in Kaluza-Klein theories and dimensional renormalization theories, and in the formation of superstring theories.
The book is aimed at beginning graduate physics and math students learning mathematical physics, relativity, quantum physics, or applied mathematics; and mathematical physicists.
1. A Taste of Clifford Algebra in Euclidean 3-Space ; 2. A Sample of Clifford Algebra in Minkowski 4-Space ; 3. Clifford Algebra for Flat n-Dimensional Spaces ; 4. Curved Spaces Embedded in Higher Dimensional Flat Spaces ; 5. The Use of Fock-Ivanenko 2-Vectors to Deal with Curved Spaces ; 6. The Use of Fock-Ivanenko 2-Vectors to Obtain the Schwarzschild Metric ; 7. The Exterior Derivative d and the Codifferential Operator d ; 8. Dirac's Equation for the Electron ; 9. The Kerr Metrick by an Elementary Brute Force Method ; 10. Petrov's Canonical Forms for the Weyl Tensor and Another Approach to the Kerr Metric ; 11. Matrix Representations and Classifications of Clifford Algebras
| Erscheint lt. Verlag | 27.3.1997 |
|---|---|
| Zusatzinfo | line figures |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 234 x 156 mm |
| Gewicht | 667 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 0-19-509824-2 / 0195098242 |
| ISBN-13 | 978-0-19-509824-2 / 9780195098242 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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