Results 221 to 230 of about 811 (264)
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Journal of Geometry and Physics, 1985
The author considers the question of the consistency of the notion of a spinor as it is widely understood and used in quantum gravity and quantum field theory. In effect he poses the following question: are there extensions of the definition of spinors which render them compatible with different pseudo-Riemannian metrics on a differentiable manifold ...
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The author considers the question of the consistency of the notion of a spinor as it is widely understood and used in quantum gravity and quantum field theory. In effect he poses the following question: are there extensions of the definition of spinors which render them compatible with different pseudo-Riemannian metrics on a differentiable manifold ...
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International Journal of Geometric Methods in Modern Physics, 2020
Spinors are used in physics quite extensively. Basically, the forms of use include Dirac four-spinors, Pauli three-spinors and quaternions. Quaternions in mathematics are essentially equivalent to Pauli spin matrices which can be generated by regarding a quaternion matrix as compound.
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Spinors are used in physics quite extensively. Basically, the forms of use include Dirac four-spinors, Pauli three-spinors and quaternions. Quaternions in mathematics are essentially equivalent to Pauli spin matrices which can be generated by regarding a quaternion matrix as compound.
Erisir, Tulay/0000-0001-6444-1460 +3 more
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Killing spinors, twistor - spinors and Hijazi inequality
Journal of Geometry and Physics, 1988This paper gives a valuable survey of various results which have been obtained over the last decade on the topics mentioned in the title of the article. Contents include: spin manifolds and corresponding connections; the operator defining twistor-spinors and the universal formula; conformal change of metric; Killing spinors and parallel forms; the ...
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International Journal of Modern Physics A, 1992
We define and study spinor operators for finite dimensional representations of the Lorentz group. The family of all such operators is given. Grassmann variables appear as one of their simplest realizations. Besides we establish a relation between spinor operators and four-vector operators, which simplifies greatly the theory of vector operators.
de la Jara F., J., Tabensky R., R.
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We define and study spinor operators for finite dimensional representations of the Lorentz group. The family of all such operators is given. Grassmann variables appear as one of their simplest realizations. Besides we establish a relation between spinor operators and four-vector operators, which simplifies greatly the theory of vector operators.
de la Jara F., J., Tabensky R., R.
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International Journal of Theoretical Physics, 2008
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2016
AbstractThis chapter introduces and discusses the theory of spinors, as well as some of their prominent applications. Algebraic spinors, classical spinors, and spinor operators are presented and, based upon the periodicity theorem and the Clifford algebras representations, classified for arbitrary fine dimensions and metric signature. The properties of
Jayme Vaz, Roldão da Rocha
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AbstractThis chapter introduces and discusses the theory of spinors, as well as some of their prominent applications. Algebraic spinors, classical spinors, and spinor operators are presented and, based upon the periodicity theorem and the Clifford algebras representations, classified for arbitrary fine dimensions and metric signature. The properties of
Jayme Vaz, Roldão da Rocha
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The Quarterly Journal of Mathematics, 1986
Let E be an oriented real vector bundle equipped with a metric \(\beta\) of signature (p,q). Two results are proved. A regular full isotrope of (E,\(\beta)\) induces a \(Spin^ c\) structure for (E,\(\beta)\). A Spin structure for (E,\(\beta)\) induces a Spin structure for \((D^{\perp}/D,\beta_ D)\); likewise for \(Spin^ c\) structures. Here D is a real
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Let E be an oriented real vector bundle equipped with a metric \(\beta\) of signature (p,q). Two results are proved. A regular full isotrope of (E,\(\beta)\) induces a \(Spin^ c\) structure for (E,\(\beta)\). A Spin structure for (E,\(\beta)\) induces a Spin structure for \((D^{\perp}/D,\beta_ D)\); likewise for \(Spin^ c\) structures. Here D is a real
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Killing spinors and massless spinor fields
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985Abstract It is shown that in a space–time that admits a Killing spinor any solution of the Weyl or of the Maxwell equations can be used as a potential for another solution of the corresponding equation. Furthermore, it is shown that the new solution can be generated by a single component of the given one, which satisfies a decoupled ...
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Acta Mathematica Sinica, English Series, 2009
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Yu, Yanlin, Zhu, Lin, Feng, Xiuhong
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Yu, Yanlin, Zhu, Lin, Feng, Xiuhong
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Spinor-spinor quasipotential in quantum electrodynamics
Theoretical and Mathematical Physics, 1987For two interacting spinor fields with equal masses and the use of relativistically invariant gauges of Lorentz type, a quasipotential is constructed in accordance with the first variant of the Logunov-Tavkhelidze potential approach. The diagrams of second order are taken into account, and the quasipotential is found in the four-component Dirac form ...
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