Stark–Wannier ladders and cubic exponential sums
- Autores: Klopp F.1, Fedotov A.A.2
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Afiliações:
- Institut de Mathématiques de Jussieu—Paris Rive Gauche, Université Pierre et Marie Curie
- St. Petersburg State University
- Edição: Volume 50, Nº 3 (2016)
- Páginas: 233-236
- Seção: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234216
- DOI: https://doi.org/10.1007/s10688-016-0152-1
- ID: 234216
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Resumo
Given a one-dimensional Stark–Wannier operator, we study the reflection coefficient and its poles in the lower half of the complex plane far from the real axis. In particular, the reflection coefficient is described asymptotically in terms of regularized infinite cubic exponential sums.
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Sobre autores
F. Klopp
Institut de Mathématiques de Jussieu—Paris Rive Gauche, Université Pierre et Marie Curie
Autor responsável pela correspondência
Email: frederic.klopp@imj-prg.fr
França, Paris
A. Fedotov
St. Petersburg State University
Email: frederic.klopp@imj-prg.fr
Rússia, St. Petersburg
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