Stark–Wannier ladders and cubic exponential sums


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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.

作者简介

F. Klopp

Institut de Mathématiques de Jussieu—Paris Rive Gauche, Université Pierre et Marie Curie

编辑信件的主要联系方式.
Email: frederic.klopp@imj-prg.fr
法国, Paris

A. Fedotov

St. Petersburg State University

Email: frederic.klopp@imj-prg.fr
俄罗斯联邦, St. Petersburg

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