Abstract

In a recently proposed five-dimensional formalism a set of relativistic wave equations can be written down for each finite-dimensional representation of the De Sitter group. These representations can be labeled by two numbers ( μ 1, μ 2), both integer or halfinteger, satisfying μ 1 ⩾ μ 2 ⩾ 0. The corresponding relativistic wave equations describe massive particles of spin μ 2. In this paper, we have written out the equations for the most general case ( μ 1, μ 2) explicitly. All equations, obtained in this way, turn out to be closely related to the Bargmann-Wigner equations.

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