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Particles and Fields
Eur. Phys. J. C 28, 431-435 (2003)
DOI: 10.1140/epjc/s2003-01188-2

A relativistic superalgebra in a generalized Schrödinger picture

R.A. Frick

Institut für Theoretische Physik, Universität Köln, 50923 Cologne, Germany

(Received: 20 November 2002 / Published online: 14 April 2003 )

We consider a relativistic superalgebra in the picture in which the time and spatial derivative cannot be presented in the operators of the particle. The supersymmetry generators as well as the Hamilton operators for the massive relativistic particles with spin 0 and spin 1/2 are expressed in terms of the principal series of the unitary representations of the Lorentz group. We also consider the massless case. New Hamilton operators are constructed for the massless particles with spin 0 and spin 1/2.

© Società Italiana di Fisica, Springer-Verlag 2003