Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero

Details Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero

2007-03-30

arxiv.org/abs/math-ph/0703089v1

Physics

Mathematical Physics

Scientific paper

We consider a charged particle moving in the plane subject to electromagnetic potentials with non-vanishing radial limits. We analyse the classical and the quantum dynamics for large time in the case the angular part of the (limiting) Lorentz force (defined for velocities that are purely radial) has a finite number of zeros at fixed energy. Any such zero defines a channel, and to the "stable" ones we associate quantum wave operators. Their completeness is studied in the case of zero as well as nonzero magnetic flux. In the latter case one needs possibly to incorporate a channel of spiraling states. These states are similar to those studied recently in the sign-definite case in \cite {CHS}.

Affiliated with

Also associated with

No associations

Rating

Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero 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 Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651051