Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields

Details Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields

2000-06-29

arxiv.org/abs/math-ph/0006031v2

Rep. Math. Phys. 47 (2001), 253-267

Physics

Mathematical Physics

LaTeX, 15 pages; a revised text to appear in Rep. Math. Phys.; a changed title plus a few minor corrections

Scientific paper

10.1016/S0034-4877(01)80041-0

We discuss the Noeckel model of an open quantum dot, i.e., a straight hard-wall channel with a potential well. If this potential depends on the longitudinal variable only, there are embedded eigenvalues which turn into resonances if the symmetry is violated, either by applying a magnetic field or by deformation of the well. For a weak symmetry breaking we derive the perturbative expansion of these resonances. We also deduce a sufficient condition under which the discrete spectrum of such a system (without any symmetry) survives the presence of a strong magnetic field. It is satisfied, in particular, if the dot potential is purely attractive.

Affiliated with

Also associated with

No associations

Rating

Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields 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 Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-592658