The continuity of the phase shift and S-wave scattering length as a functional of the potential is considered. The question is investigated in the present article for sequences of square wells which converge pointwise to zero. The results show certain conditions to be sufficient for convergence of the phase shift and scattering length to zero. These results are generalized to certain integral norms.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics