Field theory on R×S3 topology. III: The Dirac equation

M. Carmeli; S. Malin

doi:10.1007/BF00732844

Field theory on R×S³ topology. III: The Dirac equation

M. Carmeli
, S. Malin

Department of Physics

Research output: Contribution to journal › Article › peer-review

45 Citations (Web of Science)

Abstract

A Dirac-type equation on R×S³ topology is derived. It is a generalization of the previously obtained Klein-Gordon-type, Schrödinger-type, and Weyl-type equations, and reduces to the latter in the appropriate limit. The (discrete) energy spectrum is found and the corresponding complete set of solutions is given as expansions in terms of the matrix elements of the irreducible representations of the group SU₂. Finally, the properties of the solutions are discussed.

Original language	English
Pages (from-to)	1019-1029
Number of pages	11
Journal	Foundations of Physics
Volume	15
Issue number	10
DOIs	https://doi.org/10.1007/BF00732844
State	Published - 1 Oct 1985

ASJC Scopus subject areas

Philosophy
General Physics and Astronomy
History and Philosophy of Science

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10.1007/BF00732844

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title = "Field theory on R{\texttimes}S3 topology. III: The Dirac equation",

abstract = "A Dirac-type equation on R{\texttimes}S3 topology is derived. It is a generalization of the previously obtained Klein-Gordon-type, Schr{\"o}dinger-type, and Weyl-type equations, and reduces to the latter in the appropriate limit. The (discrete) energy spectrum is found and the corresponding complete set of solutions is given as expansions in terms of the matrix elements of the irreducible representations of the group SU2. Finally, the properties of the solutions are discussed.",

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N2 - A Dirac-type equation on R×S3 topology is derived. It is a generalization of the previously obtained Klein-Gordon-type, Schrödinger-type, and Weyl-type equations, and reduces to the latter in the appropriate limit. The (discrete) energy spectrum is found and the corresponding complete set of solutions is given as expansions in terms of the matrix elements of the irreducible representations of the group SU2. Finally, the properties of the solutions are discussed.

AB - A Dirac-type equation on R×S3 topology is derived. It is a generalization of the previously obtained Klein-Gordon-type, Schrödinger-type, and Weyl-type equations, and reduces to the latter in the appropriate limit. The (discrete) energy spectrum is found and the corresponding complete set of solutions is given as expansions in terms of the matrix elements of the irreducible representations of the group SU2. Finally, the properties of the solutions are discussed.

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DO - 10.1007/BF00732844

M3 - Article

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JO - Foundations of Physics

JF - Foundations of Physics

IS - 10

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Field theory on R×S³ topology. III: The Dirac equation

Abstract

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