Rarita--Schwinger for spin 3/2 field and separation of the variables in static coordinates of de Sitter space, Schrödinger tetrad basis
arXiv:1109.4802
Abstract
Rarita-Schwinger approach to description of a massive spin 3/2 particle is investigated in static coordinates of the de Sitter space-time. The general covariant system, derived from the relevant Lagrangian, is presented as a main wave equation and additional constraints in the form of first order deferential and algebraic relations. With the use of an extended Schrödinger tetrad basis and technique of Wigner D-functions the separation of the variable performed. 16 radial equations reduce to 8 ones through diagonalization of -inversion operator for spin 3/2 field.
15 pages, Chapter 3 in: V.M. Red'kov. Tetrad formalism, spherical symmetry and Schrödinger basis. Publishing House "Belarusian Science", Minsk, 339 pages (2011)