On the Essential Spectrum of Quantum Graphs
Sign Up to like & getrecommendations! Published in 2017 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-017-2386-6
Abstract: Let $$\Gamma \subset \mathbb {R}^{n}$$Γ⊂Rn be a graph periodic with respect to the action of a group $$\mathbb {G}$$G isomorphic to $$\mathbb {Z}^{m},1\le m\le n. $$Zm,1≤m≤n. We consider a one-dimensional Schrödinger operator $$\begin{aligned} S_{q}u(x)=\left( -\frac{d^{2}}{dx^{2}}+q(x)\right)… read more here.
Keywords: quantum graphs; spectrum; essential spectrum; spectrum quantum ... See more keywords