Formal Scattering Theory Approach to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix Relations in Supersymmetric Quantum Mechanics

Abstract

Combining the methods of scattering theory and supersymmetric quantum mechanics we obtain relations between the $S$ matrix and its supersymmetric partner. These relations involve only asymptotic quantities and do not require knowledge of the dynamical details. For example, for coupled channels with no threshold differences the relations involve the asymptotic normalization constant of the bound state removed by supersymmetry.