English

Collective coordinate variable for soliton-potential system in sine-Gordon model

High Energy Physics - Theory 2015-05-14 v1

Abstract

A Collective coordinate variable for adding a space dependent potential to the sine-Gordon model is presented. Interaction of solitons with a delta function potential barrier and also delta function potential well is investigated. Most of the characters of interaction are derived analytically. We will find that the behaviour of a solitonic solution is like a point particle which is moved under the influence of a complicated effective potential. The effective potential is a function of the field initial conditions and also parameters of added potential.

Keywords

Cite

@article{arxiv.0910.3058,
  title  = {Collective coordinate variable for soliton-potential system in sine-Gordon model},
  author = {Kurosh Javidan},
  journal= {arXiv preprint arXiv:0910.3058},
  year   = {2015}
}

Comments

10 pages, 6 figures

R2 v1 2026-06-21T13:59:07.392Z