Existence of the Stark-Wannier quantum resonances

DOI10.1063/1.4903509zbMath1303.81079arXiv1312.6066OpenAlexW2052647437MaRDI QIDQ2939209

Andrea Sacchetti

Publication date: 19 January 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6066

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum waveguides, quantum wires (82D77)

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Nonlinear Stark--Wannier Equation ⋮ Stark-Wannier ladders and cubic exponential sums ⋮ Spacing gain and absorption in a simple $ \newcommand{\PT}{\mathcal{PT}} \PT$ -symmetric model: spectral singularities and ladders of eigenvalues and resonances

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