One-Dimensional Algorithm for Finding Eigenbasis of the Schrödinger Operator

DOI10.1137/070684197zbMath1159.65334OpenAlexW2076182223MaRDI QIDQ3614827

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Publication date: 10 March 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070684197

zbMATH Keywords

eigenvaluealgebraic multigridSchrödingermultiscale eigenbasis

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Algebraic multigrid methods ⋮ The least squares AMG solver for the one-dimensional Helmholtz operator ⋮ Convergence theory of exact interpolation scheme for computing several eigenvectors

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