DOI: 10.1140/epjc/s2003-01188-2
A relativistic superalgebra in a generalized Schrödinger picture
R.A. FrickInstitut für Theoretische Physik, Universität Köln, 50923 Cologne, Germany
(Received: 20 November 2002 / Published online: 14 April 2003 )
Abstract
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
