Abstract
An introduction into the area of inverse problems for the Schrodinger operators on metric graphs is given. The case of metric finite trees is treated in detail with the focus on matching conditions. For graphs with loops we show that for almost all matching conditions the potential on the loop is not determined uniquely by the Titchmarsh-Weyl function. The class of all admissible potentials is characterized.
| Original language | English |
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| Pages (from-to) | A132-A141 |
| Journal | Acta Physica Polonica. Series A: General Physics, Physics of Condensed Matter, Optics and Quantum Electronics, Atomic and Molecular Physics, Applied Physics |
| Volume | 120 |
| Issue number | 6A |
| Publication status | Published - 2011 |
Subject classification (UKÄ)
- Mathematical Sciences