Eigenvalue Problems for One-Dimensional Discrete Schrödinger Operators with Symmetric Boundary Conditions

DOI10.1137/S0895479800371530zbMath0999.39016OpenAlexW2032181547MaRDI QIDQ2784362

Jonq Juang, Wen-Wei Lin, Shih-Feng Shieh

Publication date: 23 April 2002

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479800371530

zbMATH Keywords

eigenvaluefinite difference methodeigenvectorSchrödinger operatordiscrete Schrödinger equationsymmetric boundary conditions

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) Discrete version of topics in analysis (39A12) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass ⋮ Boundary effects on eigen-problems of discrete Laplacian in lattices

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