Abstract
Schrodinger operators on metric trees are considered. It is proven that for certain matching conditions the Titchmarsh-Weyl matrix function does not determine the underlying metric tree; i.e. there exist quantum trees with equal Titchmarsh-Weyl functions. The constructed trees form one-parameter families of isospectral and isoscattering graphs.
| Original language | English |
|---|---|
| Pages (from-to) | 2347-2356 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 140 |
| Issue number | 7 |
| Publication status | Published - 2012 |
Subject classification (UKÄ)
- Mathematical Sciences
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