Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices
Abstract We consider a class of Schrödinger operators with complex decaying potentials on the lattice. Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the potential.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2018-03-01
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| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/s13373-018-0117-1 |