Abstract
By following the ideas suggested by the supersymmetric theories, a model for a pseudoclassical relativistic oscillator is studied. It is shown how it is possible to construct a (pseudoclassical) supersymmetric Lagrangian for the harmonic oscillator from the classical one. The quantization of the theory is different in the two cases: in the Bose sector we have a mass spectrum for particles with integer spin, whereas in the supersymmetric sector we have a tower of particles with half-integer spin and degenerate in mass.
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