Field theory onR×S 3 topology. III: The Dirac equation |
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| Authors: | M. Carmeli S. Malin |
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| Affiliation: | (1) Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel;(2) Department of Physics and Astronomy, Colgate University, 13346 Hamilton, New York |
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| 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. |
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