%0 Journal Article
%T Unbounded quantum graphs with unbounded boundary conditions
%A Daniel Lenz
%A Carsten Schubert
%A Ivan Veseli£¿
%J Physics
%D 2012
%I arXiv
%X We consider metric graphs with a uniform lower bound on the edge lengths but no further restrictions. We discuss how to describe every local self-adjoint Laplace operator on such graphs by boundary conditions in the vertices given by projections and self-adjoint operators. We then characterize the lower bounded self-adjoint Laplacians and determine their associated quadratic form in terms of the operator families encoding the boundary conditions.
%U http://arxiv.org/abs/1205.1944v1