E-viri
PDF
Recenzirano
Odprti dostop
-
Behrndt, Jussi; Khrabustovskyi, Andrii
Journal of functional analysis, 01/2022, Letnik: 282, Številka: 1Journal Article
This paper deals with singular Schrödinger operators of the form−d2dx2+∑k∈Zγkδ(⋅−zk),γk∈R, in L2(ℓ−,ℓ+), where δ(⋅−zk) is the Dirac delta-function supported at zk∈(ℓ−,ℓ+) and (ℓ−,ℓ+) is a bounded interval. It will be shown that the interaction strengths γk and the points zk can be chosen in such a way that the essential spectrum and a bounded part of the discrete spectrum of this self-adjoint operator coincide with prescribed sets on the real line.
