Highly Influenced

# Smilansky’s Model of Irreversible Quantum Graphs, Ii: the Point Spectrum

@inproceedings{Solomyak2005SmilanskysMO, title={Smilansky’s Model of Irreversible Quantum Graphs, Ii: the Point Spectrum}, author={Michael Solomyak}, year={2005} }

- Published 2005

In the model suggested by Smilansky [6] one studies an operator describing the interaction between a quantum graph and a system of K one-dimensional oscillators attached at different points of the graph. This paper is a continuation of [3] in which we started an investigation of the case K > 1. For the sake of simplicity we consider K = 2, but our argument applies to the general situation. In this second part of the paper we apply the variational approach to the study of the point spectrum.