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The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions

Marston, C. Clay, Balint-Kurti, Gabriel G.·1989·The Journal of Chemical Physics

Abstract

A new method for the calculation of bound state eigenvalues and eigenfunctions of the Schrödinger equation is presented. The Fourier grid Hamiltonian method is derived from the discrete Fourier transform algorithm. Its implementation and use is extremely simple, requiring the evaluation of the potential only at certain grid points and yielding directly the amplitude of the eigenfunctions at the same grid points.

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Metadata

Authors
Marston, C. C., & Balint-Kurti, G. G.
Venue
The Journal of Chemical Physics
Published
1989-09-15
Volume
91
Issue
6
Pages
3571-3576
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2001293558
Cited by
1,100
References
1
FWCI
10.12
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions. https://app.cochat.ai/papers/10.1063/1.456888
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Marston, C. C., & Balint-Kurti, G. G. (1989). The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions. The Journal of Chemical Physics. https://doi.org/10.1063/1.456888

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.