Smilansky's model of irreversible quantum graphs: II. The point spectrum
نویسندگان
چکیده
منابع مشابه
Smilansky’s Model of Irreversible Quantum Graphs, Ii: the Point Spectrum
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 t...
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The “irreversible quantum graph” model, suggested by U. Smilansky, is considered. Mathematically, the problem is in the investigation of the spectrum of the operator Aα determined by an infinite system of ordinary differential equations on a graph and by a system of boundary conditions, such as conditions on the jumps of derivatives. The operator depends on a parameter α ≥ 0 involved in the bou...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2005
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/38/35/004