Generation of modes on the three-dimensional sphere

D. E. Burlankov

N. I. Lobachevski State University of Nizhni Novgorod

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

DOI: 10.4213/tmf5988

 English version: Theoretical and Mathematical Physics, 2007, 150:3, 355–376

Bibliographic databases:

• 
• 
• 
• 
• 
•