Gaussian beam construction for adiabatic perturbations

DOI10.1007/s11040-006-9009-9zbMath1119.35071OpenAlexW2081536577MaRDI QIDQ2370079

Mouez Dimassi, Jean-Claude Guillot, J. V. Ralston

Publication date: 21 June 2007

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-006-9009-9

zbMATH Keywords

Schrödinger equationFloquet eigenvalues

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (6)

Error estimates for Gaussian beam methods applied to symmetric strictly hyperbolic systems ⋮ Wigner measures and effective mass theorems ⋮ Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials ⋮ Eigenfunction concentration via geodesic beams ⋮ A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations ⋮ Gauge-Invariant Frozen Gaussian Approximation Method for the Schrödinger Equation with Periodic Potentials

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