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Quantum graphs:

spectral theory and

inverse problems

P.Kurasov

5 univ. points

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An advanced course for graduate and PhD students

Lecturer: Pavel Kurasov
October 5 - 13, 2010
First meeting: October 5, 13.15 in MH:309A

Quantum graphs denote a wide class of models used to describe systems where the dynamics is confined to a neighborhood of graph-like structures. Such models have natural applications in nanosystems, but related methods are useful in other fields such as microwave networks, chemistry, and even medicine. This course will give an introduction into the theory of quantum graphs considered as ordinary differential equations on metric graphs. Their spectral and scattering properties will be investigated. In particular we are going to discuss how geometric properties of graphs are reflected by the spectrum of the corresponding differential operators. The corresponding inverse problems will be discussed in details.

Preliminary schedule All participants will be invited to take part in the Research weekend devoted to Quantum Graphs on Saturday, 9/10. More information will be posted on the web-page http://www.maths.lth.se/matematiklth/personal/kurasov/QGRAPH/Meeting1010.html

If you are interested in the course, please contact Pavel Kurasov (kurasov@maths.lth.se). It is still possible to adjust the schedule to fit your wishes.