Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum
Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum
In the work we consider a simplest graph formed by two finite edges and a small edge coupled at a common vertex.The length of the small edge serves as a small parameter.On such graph, we consider the Schrödinger operator with the Kirchoff condition at the internal vertex, the Dirichlet condition …