Email this article Trace formulas for a discrete Schrödinger operator
- Authors: Korotyaev E.L.1, Laptev A.2
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Affiliations:
- St. Petersburg State University
- Imperial College London
- Issue: Vol 51, No 3 (2017)
- Pages: 225-229
- Section: Brief Communications
- URL: https://journal-vniispk.ru/0016-2663/article/view/234338
- DOI: https://doi.org/10.1007/s10688-017-0186-z
- ID: 234338
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Abstract
The Schrödinger operator with complex decaying potential on a lattice is considered. Trace formulas are derived on the basis of classical results of complex analysis. These formulas are applied to obtain global estimates of all zeros of the Fredholm determinant in terms of the potential.
About the authors
E. L. Korotyaev
St. Petersburg State University
Author for correspondence.
Email: korotyaev@gmail.com
Russian Federation, St. Petersburg
A. Laptev
Imperial College London
Email: korotyaev@gmail.com
United Kingdom, London
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