A note on Schrödinger--Newton systems with decaying electric potential

Details A note on Schrödinger--Newton systems with decaying electric potential A note on Schrödinger--Newton systems with decaying electric potential

2009-08-26

arxiv.org/abs/0908.3768v2

Mathematics

Analysis of PDEs

19 pages

Scientific paper

We prove the existence of solutions for the singularly perturbed Schr\"odinger--Newton system {ll} \hbar^2 \Delta \psi - V(x) \psi + U \psi =0 \hbar^2 \Delta U + 4\pi \gamma |\psi|^2 =0 . \hbox{in $\mathbb{R}^3$} with an electric potential (V) that decays polynomially fast at infinity. The solution $\psi$ concentrates, as $\hbar \to 0$, around (structurally stable) critical points of the electric potential. As a particular case, isolated strict extrema of (V) are allowed.

Affiliated with

Also associated with

No associations

Rating

A note on Schrödinger--Newton systems with decaying electric potential 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 A note on Schrödinger--Newton systems with decaying electric potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on Schrödinger--Newton systems with decaying electric potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624095