Spectra of soft ring graphs
Exner, P. ; Tater, M.
arXiv, 0303006 / Harvested from arXiv
Text on arXiv
We discuss of a ring-shaped soft quantum wire modeled by $\delta$ interaction supported by the ring of a generally nonconstant coupling strength. We derive condition which determines the discrete spectrum of such systems, and analyze the dependence of eigenvalues and eigenfunctions on the coupling and ring geometry. In particular, we illustrate that a random component in the coupling leads to a localization. The discrete spectrum is investigated also in the situation when the ring is placed into a homogeneous magnetic field or threaded by an Aharonov-Bohm flux and the system exhibits persistent currents.
Publié le : 2003-03-03
Classification:  Mathematical Physics,  Condensed Matter,  Quantum Physics 
@article{0303006,
     author = {Exner, P. and Tater, M.},
     title = {Spectra of soft ring graphs},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303006}
}

Exner, P.; Tater, M. Spectra of soft ring graphs. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303006/