Exact Bogoliubov-de Gennes Solutions for Grey Soliton Backgrounds

Details Exact Bogoliubov-de Gennes Solutions for Grey Soliton Backgrounds Exact Bogoliubov-de Gennes Solutions for Grey Soliton Backgrounds

2011-04-05

arxiv.org/abs/1104.0886v1

Physics

Quantum Physics

Scientific paper

We derive and discuss the complete set of exact solutions to the one-dimensional Bogoliubov-de Gennes equations for small amplitude excitations around general grey soliton solutions to the cubic nonlinear Schr\"odinger equation. Our results extend the previously known case of the motionless dark soliton background. We derive our non-zero frequency solutions using a variant of the factorization method for Schr\"odinger equations with reflectionless potentials. We also discuss the zero mode solutions at length.

Affiliated with

Also associated with

No associations

Rating

Exact Bogoliubov-de Gennes Solutions for Grey Soliton Backgrounds 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 Exact Bogoliubov-de Gennes Solutions for Grey Soliton Backgrounds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Bogoliubov-de Gennes Solutions for Grey Soliton Backgrounds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321671