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arXiv · 1609.09703

Trace formulae for Schr\"odinger operators with complex-valued potentials on cubic lattices

Evgeny Korotyaev·Ari Laptev
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Abstract

We consider Schr\"odinger operators with complex decaying potentials on the lattice. Using some classical results from Complex Analysis we obtain some trace formulae and using them estimate globally all zeros of the Fredholm determinant in terms of the potential.

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Evgeny Korotyaev, Ari Laptev. 2016-09-30. Trace formulae for Schr\"odinger operators with complex-valued potentials on cubic lattices. https://arxiv.org/abs/1609.09703

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