Numerical Solution of the Schrödinger Equation in a Wavelet Basis for Hydrogen-like Atoms

DOI10.1137/S0036142995284557zbMath0924.65110OpenAlexW2094312577MaRDI QIDQ4389111

Mireille Defranceschi, Patrick Fischer

Publication date: 11 May 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142995284557

zbMATH Keywords

iterative methodSchrödinger equationhydrogen atomeigenfunctionlowest eigenvaluewavelet decomposition

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Atomic physics (81V45) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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