LORENTZ INVARIANCE FROM EUCLIDEAN SUPERSYMMETRY

The Schrodinger equation in a super-Euclidean space is examined from the Lagrangian field theory point of view. It is explicitly shown that the elimination of the "auxiliary" field makes the Lorentz invariance manifest, but destroys the manifest super-symmetry. This suggests that it could be sufficient to supersymmetrize the relativistic systems in Euclidean level.