Stark-Wannier ladders and cubic exponential sums

DOI10.1007/s10688-016-0152-1zbMath1360.34174arXiv1604.06690OpenAlexW2964082604MaRDI QIDQ508821

Yong-Cai Geng, Sumit K. Garg

Publication date: 8 February 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06690

zbMATH Keywords

cubic exponential sumsStark-Wannier ladders

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

Related Items (2)

Number of nonzero cubic sums ⋮ Spacing gain and absorption in a simple $ \newcommand{\PT}{\mathcal{PT}} \PT$ -symmetric model: spectral singularities and ladders of eigenvalues and resonances

Cites Work

• Wannier-Stark resonances in optical and semiconductor superlattices
• Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case
• Existence of the Stark-Wannier quantum resonances
• Imaginary parts of Stark–Wannier resonances
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