Anomalous electron trapping by magnetic flux tubes and electric current vortices

Details Anomalous electron trapping by magnetic flux tubes and electric current vortices Anomalous electron trapping by magnetic flux tubes and electric current vortices

1998-10-23

arxiv.org/abs/math-ph/9810016v3

Physics

Mathematical Physics

6 pages, LaTeX, to appear in Proceedings of QMath7, Prague 1997, published in the Birkhauser series "Operator Theory: Advances

Scientific paper

We consider an electron with an anomalous magnetic moment, g>2, confined to a plane and interacting with a nonhomogeneous magnetic field B, and investigate the corresponding Pauli Hamiltonian. We prove a lower bound on the number of bound states for the case when B is of a compact support and the related flux is $N+\epsilon, \epsilon\in(0,1]$. In particular, there are at least N+1 bound states if B does not change sign. We also consider the situation where the magnetic field is due to a localized rotationally symmetric electric current vortex in the plane. In this case the flux is zero; there is a pair of bound states for a weak coupling, and higher orbital-momentum "spin-down" states appearing as the current strength increases.

Affiliated with

Also associated with

No associations

Rating

Anomalous electron trapping by magnetic flux tubes and electric current vortices 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 Anomalous electron trapping by magnetic flux tubes and electric current vortices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalous electron trapping by magnetic flux tubes and electric current vortices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227360