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Representations and invariant equations of E(3) (1987)

Humi, Mayer

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 28 (1987), S. 2807-2811

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527730

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