The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
An algorithm for the machine calculation of complex Fourier series
Cooley, J. W., & Tukey, J. W. (1965) · Mathematics of Computation · doi:10.1090/s0025-5718-1965-0178586-1 · Cited by 13,154
Cited by
Theory of Coupled Electron and Proton Transfer Reactions
Hammes-Schiffer, S., & Stuchebrukhov, A. A. (2010) · Chemical Reviews · doi:10.1021/cr1001436 · Cited by 848
Gray, S. K., & Balint-Kurti, G. G. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475495 · Cited by 425
Self-citationTheoretical Modeling of Electrochemical Proton-Coupled Electron Transfer
Warburton, R. E., Soudackov, A. V., & Hammes-Schiffer, S. (2022) · Chemical Reviews · doi:10.1021/acs.chemrev.1c00929 · Cited by 322
Metadata
- Authors
- Marston, C. C., & Balint-Kurti, G. G.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions. https://app.cochat.ai/papers/10.1063/1.456888
- The paper
- 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
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.