The scattering of quantized solitons in the non-linear Schroedinger theory

The scattering of quantized solitons in non-linear Schroedinger theory is treated using the collective coordinate method of Gervais, Jevicki and Sakita. The phase shift for soliton-soliton scattering is calculated up to the one-loop level. It is found that the quantum correction vanishes. This result coincides in the first two terms of an expansion in h/2π with the exact amplitude calculated from a quantum mechanical N-body problem. (Auth.)