Computation of the semiclassical limit of the Schrödinger equation with phase shift by a level set method
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Publication:618355
DOI10.1007/s10915-007-9137-9zbMath1203.65137OpenAlexW2049360039MaRDI QIDQ618355
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-007-9137-9
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (6)
Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation ⋮ A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials ⋮ High order numerical methods to a type of delta function integrals ⋮ Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials ⋮ Mathematics of Electron Tomography ⋮ Mathematical and computational methods for semiclassical Schrödinger equations
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