Volumetric fast multipole method for modeling Schrödinger's equation

DOI10.1016/j.jcp.2006.11.003zbMath1114.65361OpenAlexW1973696592MaRDI QIDQ886082

Wenbin Lin, Chang-Hoi Ahn, Narayan Kovvali, Luise Couchman, Lawrence Carin, Zhi-Qin Zhao

Publication date: 14 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.11.003

zbMATH Keywords

computational complexitynumerical examplesquantum harmonic oscillatorSchrödinger's equationmulti-atom quantom phenomenamulti-level fast multipole methodrectangular and sperical quantum wellsvolume integral equation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

Treecode-accelerated Green iteration for Kohn-Sham density functional theory

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• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

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