Abstract
The s-wave time-independent Schrödinger equation with an isotropic velocity-dependent potential is considered. We have used perturbation theory to calculate the scattering phase shifts when the energy is changed by a small amount ΔE from an arbitrary unperturbed value E0. The validity of our results was tested by comparing the perturbed phase shifts to those obtained exactly by solving the Schrödinger equation. We assumed the local potential to have the form of a finite square well and the velocity-dependent part of the potential to have the form of a Yukawa potential.
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