Coherent states for systems of $L^2-$supercritical nonlinear Schrödinger equations

Details Coherent states for systems of $L^2-$supercritical nonlinear Schrödinger equations Coherent states for systems of $L^2-$supercritical nonlinear Schrödinger equations

2012-03-19

arxiv.org/abs/1203.4249v1

Mathematics

Analysis of PDEs

Scientific paper

We consider the propagation of wave packets for a nonlinear Schr\"odinger equation, with a matrix-valued potential, in the semi-classical limit. For a matrix-valued potential, Strichartz estimates are available under long range assumptions. Under these assumptions, for an initial coherent state polarized along an eigenvector, we prove that the wave function remains in the same eigenspace, in a scaling such that nonlinear effects cannot be neglected. We also prove a nonlinear superposition principle for these nonlinear wave packets.

Affiliated with

Also associated with

No associations

Rating

Coherent states for systems of $L^2-$supercritical nonlinear Schrödinger equations 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 Coherent states for systems of $L^2-$supercritical nonlinear Schrödinger equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent states for systems of $L^2-$supercritical nonlinear Schrödinger equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493123