SINGULAR SUPERPOTENTIALS IN SUPERSYMMETRIC QUANTUM-MECHANICS

In the framework of supersymmetric quantum mechanics, we analyze the g eneral problem of singular superpotentials, explicit breaking of super symmetry, negative energy states and unpaired positive energy eigensta tes. Singular superpotentials are systematically generated from the ex cited state wave functions of any given potential. Several special exa mples resulting from this procedure have been previously considered in the literature. Our approach provides a physical, intuitive understan ding for the appearance of negative energy states and the presence or lack of degeneracy in the eigenvalue spectra of the supersymmetric par tner potentials.