Email this article Stark–Wannier ladders and cubic exponential sums
- Authors: Klopp F.1, Fedotov A.A.2
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Affiliations:
- Institut de Mathématiques de Jussieu—Paris Rive Gauche, Université Pierre et Marie Curie
- St. Petersburg State University
- Issue: Vol 50, No 3 (2016)
- Pages: 233-236
- Section: Brief Communications
- URL: https://journal-vniispk.ru/0016-2663/article/view/234216
- DOI: https://doi.org/10.1007/s10688-016-0152-1
- ID: 234216
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Abstract
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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About the authors
F. Klopp
Institut de Mathématiques de Jussieu—Paris Rive Gauche, Université Pierre et Marie Curie
Author for correspondence.
Email: frederic.klopp@imj-prg.fr
France, Paris
A. A. Fedotov
St. Petersburg State University
Email: frederic.klopp@imj-prg.fr
Russian Federation, St. Petersburg
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