On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential
Borisov, Denis I. ; Gadyl'shin, Rustem R.
arXiv, 0508013 / Harvested from arXiv
Text on arXiv
We study the phenomenon of an eigenvalue emerging from essential spectrum of a Schroedinger operator perturbed by a fast oscillating compactly supported potential. We prove the sufficient conditions for the existence and absence of such eigenvalue. If exists, we obtain the leading term of its asymptotics expansion.
Publié le : 2005-08-04
Classification:  Mathematical Physics 
@article{0508013,
     author = {Borisov, Denis I. and Gadyl'shin, Rustem R.},
     title = {On spectrum of a Schroedinger operator with a fast oscillating compactly
  supported potential},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {ru},
     url = {http://dml.mathdoc.fr/item/0508013}
}

Borisov, Denis I.; Gadyl'shin, Rustem R. On spectrum of a Schroedinger operator with a fast oscillating compactly
  supported potential. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508013/