Inverse scattering and the symplectic form for sine-Gordon solitons

Details Inverse scattering and the symplectic form for sine-Gordon solitons Inverse scattering and the symplectic form for sine-Gordon solitons

1997-10-20

arxiv.org/abs/hep-th/9710156v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex

Scientific paper

We consider the canonical symplectic form for sine-Gordon evaluated explicitly on the solitons of the model. The integral over space in the form, which arises because the canonical argument uses the Lagrangian density, is done explicitly in terms of functions arising in the group doublecrossproduct formulation of the inverse scattering procedure, and we are left with a simple expression given by two boundary terms. The expression is then evaluated explicitly in terms of the changes in the positions and momenta of the solitons, and we find agreement with a result of Babelon and Bernard who have evaluated the form using a different argument, where it is diagonal in terms of `in' or `out' co-ordinates. Using the result, we also investigate the higher conserved charges within the inverse scattering framework, check that they Poisson commute and evaluate them on the soliton solutions.

Affiliated with

Also associated with

No associations

Rating

Inverse scattering and the symplectic form for sine-Gordon solitons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Inverse scattering and the symplectic form for sine-Gordon solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse scattering and the symplectic form for sine-Gordon solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-152485