Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields
Duclos, Pierre ; Exner, Pavel ; Meller, Bernhard
arXiv, 0006031 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-06-29
Classification:  Mathematical Physics,  Condensed Matter,  Quantum Physics 
@article{0006031,
     author = {Duclos, Pierre and Exner, Pavel and Meller, Bernhard},
     title = {Open quantum dots: resonances from perturbed symmetry and bound states
  in strong magnetic fields},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006031}
}

Duclos, Pierre; Exner, Pavel; Meller, Bernhard. Open quantum dots: resonances from perturbed symmetry and bound states
  in strong magnetic fields. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006031/