Results 251 to 260 of about 51,994 (290)
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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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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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Acta Mathematica Sinica, English Series, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Yanlin, Zhu, Lin, Feng, Xiuhong
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Yanlin, Zhu, Lin, Feng, Xiuhong
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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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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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Twistor spinors and quasi-twistor spinors
Chinese Annals of Mathematics, Series B, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Relation Between the Dirac Spinor and the Hestenes Spinor
2011One shows that the quaternion and the biquaternion may be considered as real forms of the Pauli and the Dirac spinors. Then relations with the real Hestenes spinor are clarified.
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