Abstract
For a magnetic Schrödinger operator on a graph, which is a generalization of classical Harper operator, we study some spectral properties: the Bloch property and the behaviour of the bottom of the spectrum with respect to magnetic fields. We also show some examples which have interesting properties.
| Original language | English |
|---|---|
| Pages (from-to) | 127-154 |
| Number of pages | 28 |
| Journal | Nagoya Mathematical Journal |
| Volume | 161 |
| DOIs | |
| Publication status | Published - Mar 2001 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Cite this
Higuchi, Y., & Shirai, T. (2001). Weak Bloch property for discrete magnetic Schrodinger operators. Nagoya Mathematical Journal, 161, 127-154. https://doi.org/10.1017/S0027763000022157