A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space
DOI10.4208/cicp.2018.hh80.01zbMath1475.65143OpenAlexW2912486669MaRDI QIDQ5160500
Lihui Chai, Peter Alexander Markowich, Shih Jin
Publication date: 29 October 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9f4a6db8f01a6c19748429fb15808fe9e681acd9
Schrödinger equationtime-splitting spectral methodGaussian beam methodBloch decompositionDirac pointband-crossing
Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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