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has been cited by the following article:

• TITLE: Schrödinger Operators on Graphs and Branched Manifolds

  AUTHORS: M. H. Numan Elsheikh

  KEYWORDS: The Schrödinger Equation; Schrödinger Operators on Graphs and Branched Manifolds;Self-Adjoint Extensions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.2, January 17, 2014

  ABSTRACT: 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, whose support does not contain the branch points of the graph and branch points of the manifold. These results are obtained for graphs with a single vertex, graphs with multiple vertices and graphs with a single vertex and countable set of rays.