On a differential operator appearing in the theory of irreversible quantum graphs

@inproceedings{Solomyak2004OnAD,
  title={On a differential operator appearing in the theory of irreversible quantum graphs},
  author={Michael Solomyak},
  year={2004}
}
A partial differential operator depending on the coupling parameter α≥0 is considered. The spectral properties of the operator strongly depend on α. The operator was suggested in Smilansky (2003 Waves Random Media 14 S143–53) as a model of an irreversible physical system.