Smilansky's model of irreversible quantum graphs, II: the point spectrum

Details Smilansky's model of irreversible quantum graphs, II: the point spectrum Smilansky's model of irreversible quantum graphs, II: the point spectrum

2005-05-18

arxiv.org/abs/math/0505383v1

Mathematics

Spectral Theory

18 pages

Scientific paper

10.1088/0305-4470/38/35/004

In the model suggested by Smilansky 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 our 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 paper we apply the variational approach to the study of the point spectrum.

Affiliated with

Also associated with

No associations

Rating

Smilansky's model of irreversible quantum graphs, II: the point spectrum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Smilansky's model of irreversible quantum graphs, II: the point spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Smilansky's model of irreversible quantum graphs, II: the point spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710295