Interaction of coherent states for Hartree equations

Details Interaction of coherent states for Hartree equations Interaction of coherent states for Hartree equations

2011-04-05

arxiv.org/abs/1104.0781v3

Mathematics

Analysis of PDEs

More explanations and comments

Scientific paper

We consider the Hartree equation with a smooth kernel and an external potential, in the semiclassical regime. We analyze the propagation of two initial wave packets, and show different possible effects of the interaction, according to the size of the nonlinearity in terms of the semiclassical parameter. We show three different sorts of nonlinear phenomena. In each case, the structure of the wave as a sum of two coherent states is preserved. However, the envelope and the center (in phase space) of these two wave packets are affected by nonlinear interferences, which are described precisely.

Affiliated with

Also associated with

No associations

Rating

Interaction of coherent states for Hartree 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 Interaction of coherent states for Hartree equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interaction of coherent states for Hartree equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321071