Asymptotics of eigenvalues of the Aharonov-Bohm operator with a strong $\delta$-interaction on a loop
Honnouvo, G. ; Hounkonnou, M. N.
arXiv, 0306067 / Harvested from arXiv
Text on arXiv
We investigate the two-dimensional Aharonov-Bohm operator $H_{c_0,\beta} = {(-i\nabla -A)}^{2}-\beta\delta(.-\Gamma),$ where $\Gamma$ is a smooth loop and $A$ is the vector potential which corresponds to Aharonov-Bohm potential. The asymptotics of negative eigenvalues of $H_{c_0,\beta}$ for $\beta \longrightarrow +\infty$ is found. We also prove that for large enough positive value of $\beta$ the system exhibits persistent currents.
Publié le : 2003-06-26
Classification:  Mathematical Physics 
@article{0306067,
     author = {Honnouvo, G. and Hounkonnou, M. N.},
     title = {Asymptotics of eigenvalues of the Aharonov-Bohm operator with a strong
  $\delta$-interaction on a loop},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306067}
}

Honnouvo, G.; Hounkonnou, M. N. Asymptotics of eigenvalues of the Aharonov-Bohm operator with a strong
  $\delta$-interaction on a loop. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306067/