Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators

DOI10.1090/mcom/3774zbMath1502.65225arXiv2008.10871OpenAlexW4226102315MaRDI QIDQ5041994

Benjamin Stamm, Geneviève Dusson, Israel Michael Sigal

Publication date: 18 October 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10871

zbMATH Keywords

convergenceSchrödinger operatorerror boundnonlinear eigenvalue problemquantum mechanicsirregular potentialFourier spectral discretization

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs in connection with quantum mechanics (35Q40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

Numerical stability and efficiency of response property calculations in density functional theory

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