On the new conformally invariant equations for spinor fields and their exact solutions

W. I. Fuschchich; W. M. Shtelen; R. Z. Zhdanov

doi:10.1016/0370-2693(85)90884-6

On the new conformally invariant equations for spinor fields and their exact solutions

W. I. Fuschchich, W. M. Shtelen, R. Z. Zhdanov

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3 Scopus citations

Abstract

The Poincaré and conformally invariant nonlinear generalizations of the Dirac equation are discussed and, in particular, the conformally invariant version of the Dirac-Heisenberg equation is obtained. For the latter equation some exact solutions are found and among them there is a family which is invariant under the full 15-parameter conformal group.

Original language	English (US)
Pages (from-to)	189-191
Number of pages	3
Journal	Physics Letters B
Volume	159
Issue number	2-3
DOIs	https://doi.org/10.1016/0370-2693(85)90884-6
State	Published - Sep 19 1985
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(85)90884-6

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title = "On the new conformally invariant equations for spinor fields and their exact solutions",

abstract = "The Poincar{\'e} and conformally invariant nonlinear generalizations of the Dirac equation are discussed and, in particular, the conformally invariant version of the Dirac-Heisenberg equation is obtained. For the latter equation some exact solutions are found and among them there is a family which is invariant under the full 15-parameter conformal group.",

author = "Fuschchich, {W. I.} and Shtelen, {W. M.} and Zhdanov, {R. Z.}",

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AU - Fuschchich, W. I.

AU - Shtelen, W. M.

AU - Zhdanov, R. Z.

PY - 1985/9/19

Y1 - 1985/9/19

N2 - The Poincaré and conformally invariant nonlinear generalizations of the Dirac equation are discussed and, in particular, the conformally invariant version of the Dirac-Heisenberg equation is obtained. For the latter equation some exact solutions are found and among them there is a family which is invariant under the full 15-parameter conformal group.

AB - The Poincaré and conformally invariant nonlinear generalizations of the Dirac equation are discussed and, in particular, the conformally invariant version of the Dirac-Heisenberg equation is obtained. For the latter equation some exact solutions are found and among them there is a family which is invariant under the full 15-parameter conformal group.

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VL - 159

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EP - 191

JO - Physics Letters B

JF - Physics Letters B

IS - 2-3

ER -

On the new conformally invariant equations for spinor fields and their exact solutions

Abstract

All Science Journal Classification (ASJC) codes

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