Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
1.1 MATHEMATICS
Abstract
Spectral properties of 1-D Schrödinger operators HX,α := − d2 dx2 + xn∈X αnδ(x − xn) with local point interactions on a discrete set X = {xn}∞ n=1 are well studied when d∗ := infn,k∈N |xn − xk| > 0. Our paper is devoted to the case d∗ = 0. We consider HX,α in the framework of extension theory of symmetric operators by applying the technique of boundary triplets and the corresponding Weyl functions.
DOI
https://doi.org/https://doi.org/10.1016/j.jde.2010.02.011
Recommended Citation
Kostenko, A. & Malamud, M. (2010). 1-D Schrödinger Operators with Local Point Interactions on a Discrete Set. Journal of Differential Equations, vol. 249, no. 2, pg. 253-304. doi:10.1016/j.jde.2010.02.011