Open AccessResonances for Perturbed Periodic Schrödinger Operator
Author(s) -
Mouez Dimassi
Publication year - 2012
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2012/309398
Subject(s) - algorithm , computer science
In the semiclassical regime, we obtain a lower bound for the counting function of resonances corresponding to the perturbed periodic Schrödinger operator (ℎ)=−Δ+()+(ℎ). Here is a periodic potential, a decreasing perturbation and ℎ a small positive constant
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