Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II

Details Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II

2006-12-10

arxiv.org/abs/math/0612252v1

Mathematics

Analysis of PDEs

57pp

Scientific paper

I consider 4-dimensional Schr\"odinger operator with the generic non-degenerating magnetic field and for a generic potential I derive spectral asymptotics with the remainder estimate $O(\mu^{-1}h^{-3})$ and the principal part $\asymp h^{-4}$ where $h\ll 1$ is Planck constant and $\mu \gg 1$ is the intensity of the magnetic field. For general potentials remainder estimate $O(\mu^{-1}h^{-3}+\mu^2h^{-2})$ is achieved.

Affiliated with

Also associated with

No associations

Rating

Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II 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 Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sharp Spectral Asymptotics for four-dimensional Schroedinger operator with a strong magnetic field. II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645614