Journal of Applied Mathematics and Physics

Volume 2, Issue 2 (January 2014)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Schrödinger Operators on Graphs and Branched Manifolds

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DOI: 10.4236/jamp.2014.22001    3,841 Downloads   6,030 Views  

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.

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Elsheikh, M. (2014) Schrödinger Operators on Graphs and Branched Manifolds. Journal of Applied Mathematics and Physics, 2, 1-9. doi: 10.4236/jamp.2014.22001.

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