TY  - JOUR
A1  - Klein, Markus
A1  - Rosenberger, Elke
T1  - Harmonic approximation of difference operators
N2  - For a general class of difference operators H-epsilon = T-epsilon + V-epsilon on l(2) ((epsilon Z)(d)), where V- epsilon is a multi-well potential and a is a small parameter. we analyze the asymptotic behavior as epsilon -> 0 of the (low-lying) eigenvalues and eigenfunctions. We show that the first it eigenvalues of H converge to the first it eigenvalues of the direct suns of harmonic oscillators oil R-d located at the several wells. Our proof is microlocal.
Y1  - 2009
UR  - http://www.sciencedirect.com/science/journal/00221236
U6  - https://doi.org/10.1016/j.jfa.2009.09.004
SN  - 0022-1236
ER  -