Scattering amplitudes for supersymmetric shape-invariant potentials by operator methods

Abstract

The scattering amplitudes for all currently known supersymmetric shape-invariant potentials are calculated by analytically continuing the explicit wavefunctions obtained via supersymmetric operator techniques. The procedure is illustrated in detail for the superpotential W(x)=A tanh alpha x+B sech alpha x, for which the S matrix has not been previously calculated.