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International Journal of Theoretical Physics, 2008
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Canadian Journal of Physics, 1986
A nonlinear Dirac equation for which all finite-energy stationary solutions are nontopological solitons with compact support is coupled to the electromagnetic field. In a many-body situation, it is shown that the equilibrium is reached when all the solitons have the same value of the charge.
Mathieu, P., Morris, T. F.
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A nonlinear Dirac equation for which all finite-energy stationary solutions are nontopological solitons with compact support is coupled to the electromagnetic field. In a many-body situation, it is shown that the equilibrium is reached when all the solitons have the same value of the charge.
Mathieu, P., Morris, T. F.
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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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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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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.
Erişir, Tülay, Güngör, Mehmet Ali
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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.
Erişir, Tülay, Güngör, Mehmet Ali
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Physical Review, 1956
A nonlinear spinor field, suggested by the symmetric coupling between nucleons, muons, and leptons, has been investigated in the classical approximation. Solutions of the field equations having simple angular and temporal dependence were obtained, subject to the boundary conditions that the fields be regular and that all observable integrals be finite.
Finkelstein, R. +2 more
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A nonlinear spinor field, suggested by the symmetric coupling between nucleons, muons, and leptons, has been investigated in the classical approximation. Solutions of the field equations having simple angular and temporal dependence were obtained, subject to the boundary conditions that the fields be regular and that all observable integrals be finite.
Finkelstein, R. +2 more
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Killing spinors and massless spinor fields
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985It 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 equation.
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Physical Review, 1955
The representation-independent biquadratic identities which Pauli has proved to hold between a Dirac wave function and its adjoint are shown to be generalizable in several ways. To obtain these generalizations it is first shown how the symmetrical Kronecker product of two spinor representations of the orthogonal group in $n$ dimensions decomposes. Then
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The representation-independent biquadratic identities which Pauli has proved to hold between a Dirac wave function and its adjoint are shown to be generalizable in several ways. To obtain these generalizations it is first shown how the symmetrical Kronecker product of two spinor representations of the orthogonal group in $n$ dimensions decomposes. Then
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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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American Journal of Physics, 1952
The basic part of the theory of spinors is developed by elementary means with the use of a simple picture of a spinor and spherical trigonometry. The topics treated are the geometrical description of a spinor, components of a spinor, the equations for the rotation of a spinor, determination of the magnitude function of a spinor, and addition and ...
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The basic part of the theory of spinors is developed by elementary means with the use of a simple picture of a spinor and spherical trigonometry. The topics treated are the geometrical description of a spinor, components of a spinor, the equations for the rotation of a spinor, determination of the magnitude function of a spinor, and addition and ...
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