%0 Journal Article
%T Schrödinger Operators on Graphs and Branched Manifolds
%A M. H. Numan Elsheikh
%J Journal of Applied Mathematics and Physics
%P 1-9
%@ 2327-4379
%D 2014
%I Scientific Research Publishing
%R 10.4236/jamp.2014.22001
%X <p class=\"MsoNormal\" style=\"text-align:justify;\">
	<span lang=\"EN-US\">We consider the Schrodinger operators on graphs with a finite or
countable number of edges and Schr?dinger operators on branched manifolds of
variable dimension. In particular, a description of self-adjoint extensions of
symmetric Schr?dinger operator, initially defined on a smooth function</span><span lang=\"EN-US\">,</span><span lang=\"EN-US\"> whose
support does not contain the branch points of the graph and branch points of
the manifold. Th</span><span lang=\"EN-US\">e</span><span lang=\"EN-US\">s</span><span lang=\"EN-US\">e</span><span lang=\"EN-US\"> results are
obtained for graphs with a single vertex, graphs with multiple vertices and
graphs with a single vertex and countable set of rays.</span> 
</p>
%K The Schr&#246
%K dinger Equation
%K Schr&#246
%K dinger Operators on Graphs and Branched Manifolds
%K Self-Adjoint Extensions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=42094