Nonlinear Schrödinger equations with a multiple-well potential and a Stark-type perturbation

DOI10.1016/j.physd.2016.02.016zbMath1364.35339arXiv1507.04025OpenAlexW1953485312MaRDI QIDQ2357531

Andrea Sacchetti

Publication date: 14 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04025

zbMATH Keywords

Bose-Einstein condensatesGross-Pitaevskii equationsBloch oscillations

Mathematics Subject Classification ID

Applications of graph theory (05C90) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (1)

Nonlinear models and bifurcation trees in quantum mechanics: a review of recent results

Cites Work

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• Stationary states for nonlinear Schrödinger equations with periodic potentials
• Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential
• The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
• Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential
• Perturbation theory for linear operators.
• Nonlinear Schrödinger equations with multiple-well potential
• Nonlinear double well Schrödinger equations in the semiclassical limit
• Stationary solutions to the multi-dimensional Gross–Pitaevskii equation with double-well potential
• Analytic Properties of Bloch Waves and Wannier Functions
• Asymptotic Behavior of Stability Regions for Hill’s Equation

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