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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 3, Pages 417–440
DOI: https://doi.org/10.4213/tmf5988 (Mi tmf5988) 		 
Generation of modes on the three-dimensional sphere

D. E. Burlankov

N. I. Lobachevski State University of Nizhni Novgorod
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DOI: https://doi.org/10.4213/tmf5988
Abstract: We use the method of Lie generation of tensor fields, which works for fields of different tensor structures, to construct the complete system of scalar, vector, symmetric tensor, and spinor fields on the three-dimensional sphere. We construct the Pauli operator explicitly. We demonstrate the role of spin in forming the mode series.
Keywords: Lie variation, three-dimensional sphere, Killing fields, physical field mode.
Received: 13.01.2006
Revised: 18.04.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 3, Pages 355–376
DOI: https://doi.org/10.1007/s11232-007-0027-y
Bibliographic databases:
Language: Russian
Citation: D. E. Burlankov, “Generation of modes on the three-dimensional sphere”, TMF, 150:3 (2007), 417–440; Theoret. and Math. Phys., 150:3 (2007), 355–376
Citation in format AMSBIB
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