Geodesic
Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrödinger operators
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider a perturbation of a periodic Shrodinger operator $P_0$ by a potential $W(hx), (h\searrow 0)$. We study singularities of the density of states measure and we obtain lower bound for the counting function of resonances.
Classification : 35B34, 35B20, 35P15, 35J10
Keywords: resonances, perturbations, periodic Schrödinger operators 
@article{EJDE_2006__2006__a125,
     author = {Baklouti, Hamadi and Mnif, Maher},
     title = {Resonances generated by analytic singularities on the density of states measure for perturbed periodic {Schr\"odinger} operators},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a125/}
}
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Baklouti, Hamadi; Mnif, Maher. Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrödinger operators. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a125/