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Application of the finite-element method to the hydrogen atom in a box in an electric field

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Publication:1148113
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DOI10.1016/0021-9991(79)90161-XzbMath0451.65096MaRDI QIDQ1148113

S. H. Smith

Publication date: 1979

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


zbMATH Keywords

hydrogen atomfinite-element methodtwo-dimensional Schrödinger equation


Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic interaction; quantum electrodynamics (81V10) Schrödinger operator, Schrödinger equation (35J10) Applications to the sciences (65Z05)


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A high-speed method for solving eigenvalue problems: Use of the spline function in Milne's method ⋮ Finite elements for the eigenvalue problem of differential operators in unbounded intervals



Cites Work

  • Finite element method for solving the two-dimensional Schrödinger equation
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