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- Title
Differential operators in terms of Clebsch-Gordon (C-G) coefficients and the wave equation of massless tensor fields.
- Authors
Jairzinho Ramos
- Abstract
The quantum theory of angular momentum affords a treatment of tensors and vectors in a spherical basis. By using this theory we define the tensor differential operators: divergence, curl and gradient which act on a tensor of any rank, in terms of C-G coefficients. With these definitions we obtain a matrix representation and useful properties for those operators. An interesting application of this formalism is to find the wave equation of a tensor of any rank in a linear theory. This provides a new common way to look at the wave equations associated with both Maxwell's equations and the Maxwell-like equations for the linearized Weyl curvature tensor in gravitoelectromagnetism describing gravitational radiation on a Minkowski spacetime background.
- Publication
General Relativity & Gravitation, 2006, Vol 38, Issue 5, p773
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-006-0264-7