Results 61 to 70 of about 115 (111)
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Clifford Algebras and Spinor Spaces
1992The aim of this chapter is to gather some basic results concerning real and complex Clifford algebras. All material covered is classical, exception made of the approach given in §§4.7 – 4.8 to the explicit realization of spinor space and a Hermitian structure on it.
R. Delanghe, F. Sommen, V. Souček
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1996
This lecture contains an introduction to Clifford algebra and a discussion of its relationship to the Lorentz, Poincare, and conformai groups. Here the Dirac spinor is defined to be an element of the carrier space of the representation of the Clifford algebra.
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This lecture contains an introduction to Clifford algebra and a discussion of its relationship to the Lorentz, Poincare, and conformai groups. Here the Dirac spinor is defined to be an element of the carrier space of the representation of the Clifford algebra.
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Finite-dimensional Clifford Algebras and Spinors
2001From the noncommutative geometric standpoint of Part III, commutative geometry and Clifford geometry are one and the same thing. So here we deal with their linear-algebraic and Lie-theoretic underpinnings, namely Clifford algebra. We chose not to dispense with it in this book, despite the existence of many excellent treatments, mainly for ease of ...
José M. Gracia-Bondía +2 more
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2001
In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron ...
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In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron ...
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The Algebraic Theory of Spinors and Clifford Algebras
1996This volume is the first in a projected series devoted to the mathematical and philosophical works of the late Claude Chevalley. It covers the main contributions by the author to the theory of spinors. Since its appearance in 1954, "The Algebraic Theory of Spinors" has been a much sought after reference.
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Clifford algebraic spinor and the Dirac wave equations
Advances in Applied Clifford Algebras, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Xuegang, Zhang, Shuna, Huang, Qiunan
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Spinor representations of Clifford algebras: a symbolic approach
Computer Physics Communications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Clifford algebra and the propagation of K�hler spinors
International Journal of Theoretical Physics, 1995The author presents a detailed analysis of the spinor version of the Kähler equation. The tensor version of this equation was introduced by \textit{E. Kähler} [Rend. Mat. Appl., V. Ser. 21, 425-523 (1963; Zbl 0127.314)], and involves an inhomogeneous differential form which is naturally associated with a Clifford algebra. It may be of importance in the
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Quantum spinors and spin groups from quantum Clifford algebras
Journal of Physics A: Mathematical and General, 1997Summary: A general construction of multiparametric quantum spinors and corresponding quantum \(\text{Spin}_\mu(2\nu-h,h)\) groups associated to \(2\nu\)-(Pseudo)-Euclidean spaces is presented, and their homomorphism to the respective \(SO_\mu\) groups is discussed.
Criscuolo, A. +3 more
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Clifford Algebras and Spinor Operators
1996This paper begins with a historical survey on Clifford algebras and a model on how to start an undergraduate course on Clifford algebras. The Dirac equation and the bilinear covariants are discussed. The Fierz identities are sufficient to reconstruct a Dirac spinor from its bilinear covariants, up to a phase.
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