Document Type

Article

Publication Date

12-1-1987

Publication Title

Journal of Mathematical Physics

Abstract

Using methods analogous to those introduced by Gel’fand et al. [Representations of the rotation and Lorentz Groups and Their Applications (Pergamon, New York, 1963)] for the Lorentz group the matrix elements for the representations of the Lie algebra of the Euclidean group in three dimensions E(3) are explicitly derived. These results are then used to construct invariant equations with respect to this group and to show, in particular, that the nonrelativistic analog to the Dirac equation is not unique.

Volume

28

Issue

12

First Page Number

2807

Last Page Number

2811

DOI

10.1063/1.527730

Publisher Statement

Copyright 1987 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics 28(12) and may be found at http://link.aip.org/link/doi/10.1063/1.527730.

Included in

Mathematics Commons

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