Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 1,749

The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.

Generalized discrete variable approximation in quantum mechanics

Light, J. C., Hamilton, I. P., Lill, J. V.·1985·The Journal of Chemical Physics
DOI 10.1063/1.448462
Open this paper in CoChat — free account

Abstract

The formal definition of the generalized discrete variable representation (DVR) for quantum mechanics and its connection to the usual variational basis representation (VBR) is given. Using the one dimensional Morse oscillator example, we compare the ‘‘Gaussian quadrature’’ DVR, more general DVR’s, and other ‘‘pointwise’’ representations such as the finite difference method and a Simpson’s rule quadrature. The DVR is shown to be accurate in itself, and an efficient representation for optimizing basis set parameters. Extensions to multidimensional problems are discussed.

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1063/1.448462

Cites

8 of 8 references verified0 citation errors · 0 not checkable

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.

A few free checks a day · papers already verified open instantly · results are public

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

Show all 8 references

Cited by

See all 1,749

Metadata

Authors
Light, J. C., Hamilton, I. P., & Lill, J. V.
Venue
The Journal of Chemical Physics
Publisher
AIP Publishing
Published
1985-02-01
Volume
82
Issue
3
Pages
1400-1409
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
DOI
10.1063/1.448462
OpenAlex
W2073125394
Cited by
1,749
References
8
FWCI
5.01
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: Generalized discrete variable approximation in quantum mechanics. https://app.cochat.ai/papers/10.1063/1.448462
The paper
Light, J. C., Hamilton, I. P., & Lill, J. V. (1985). Generalized discrete variable approximation in quantum mechanics. The Journal of Chemical Physics. https://doi.org/10.1063/1.448462

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.