The boundary integral method for magnetic billiards

Details The boundary integral method for magnetic billiards The boundary integral method for magnetic billiards

1999-12-13

arxiv.org/abs/chao-dyn/9912022v1

J. Phys. A: Math. Gen. 33 (2000) 2829-2855

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

28 pages, 12 figures

Scientific paper

10.1088/0305-4470/33/14/315

We introduce a boundary integral method for two-dimensional quantum billiards subjected to a constant magnetic field. It allows to calculate spectra and wave functions, in particular at strong fields and semiclassical values of the magnetic length. The method is presented for interior and exterior problems with general boundary conditions. We explain why the magnetic analogues of the field-free single and double layer equations exhibit an infinity of spurious solutions and how these can be eliminated at the expense of dealing with (hyper-)singular operators. The high efficiency of the method is demonstrated by numerical calculations in the extreme semiclassical regime.

Affiliated with

Also associated with

No associations

Rating

The boundary integral method for magnetic billiards 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 The boundary integral method for magnetic billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The boundary integral method for magnetic billiards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430369