Rarita--Schwinger for spin 3/2 field and separation of the variables in static coordinates of de Sitter space, Schrödinger tetrad basis

Details Rarita--Schwinger for spin 3/2 field and separation of the variables in static coordinates of de Sitter space, Schrödinger tetrad basis Rarita--Schwinger for spin 3/2 field and separation of the variables in static coordinates of de Sitter space, Schrödinger tetrad basis

2011-09-22

arxiv.org/abs/1109.4802v1

Physics

Mathematical Physics

15 pages, Chapter 3 in: V.M. Red'kov. Tetrad formalism, spherical symmetry and Schr\"{o}dinger basis. Publishing House "Belaru

Scientific paper

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 Schr\"{o}dinger tetrad basis and technique of Wigner D-functions the separation of the variable performed. 16 radial equations reduce to 8 ones through diagonalization of $P$-inversion operator for spin 3/2 field.

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