Trace formulas for a discrete Schrödinger operator
- Autores: Korotyaev E.L.1, Laptev A.2
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Afiliações:
- St. Petersburg State University
- Imperial College London
- Edição: Volume 51, Nº 3 (2017)
- Páginas: 225-229
- Seção: 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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Resumo
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.
Sobre autores
E. Korotyaev
St. Petersburg State University
Autor responsável pela correspondência
Email: korotyaev@gmail.com
Rússia, St. Petersburg
A. Laptev
Imperial College London
Email: korotyaev@gmail.com
Reino Unido da Grã-Bretanha e Irlanda do Norte, London
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