Collective coordinate system in (2+1) dimensions: CP1 lumps-potential interaction

摘要

A collective coordinate system in (2+1) dimensional space-time is proposed to study the soliton-like solutions of the model. Scattering of the solutions from potential obstructions is investigated using these collective coordinates. Most of the features of the soliton-potential interaction are derived analytically using the proposed collective coordinate system while numerical simulation of the model can be done with some difficulties. A model for adding the potential obstructions to the equation of motion is presented too.