The DOI matches its Crossref record.
General form of the quantum-defect theory. II
Abstract
An earlier paper by the same title recast the treatment of an electron in the field of an ionic core [quantum-defect theory (QDT)] into a form largely independent of the character of the long-range field. Analytical complexities and limitations of that paper are eliminated here by further reformulation. Qualitative aspects are highlighted. A WKB analysis interprets the QDT parameters as phase integrals over certain ranges of the radial coordinate; the limitations of the WKB analysis are then removed through the Milne approach to wave equations. The QDT analysis is connected to Jost's formulation of scattering, extended to long-range fields by explicit treatment of the relevant singularities. The effects of interactions confined to an internal many-body core are represented by QDT parameters wholly independent of the external region.
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
Cited by
Ultracold Molecules under Control!
Quéméner, G., & Julienne, P. S. (2012) · Chemical Reviews · doi:10.1021/cr300092g · Cited by 406
Photoionization of atoms using synchrotron radiation
Schmidt, V (1992) · Reports on Progress in Physics · doi:10.1088/0034-4885/55/9/003 · Cited by 388
Collisions of ultracoldtrapped atoms
Julienne, P. S., & Mies, F. H. (1989) · Journal of the Optical Society of America B · doi:10.1364/josab.6.002257 · Cited by 191
Metadata
- Authors
- Greene, C. H., Rau, A. R. P., & Fano, U.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1982-11-01
- Volume
- 26
- Issue
- 5
- Pages
- 2441-2459
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2042558734
- Cited by
- 222
- References
- 0
- FWCI
- 6.39
- 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: General form of the quantum-defect theory. II. https://app.cochat.ai/papers/10.1103/physreva.26.2441
- The paper
- Greene, C. H., Rau, A. R. P., & Fano, U. (1982). General form of the quantum-defect theory. II. Physical Review A. https://doi.org/10.1103/physreva.26.2441
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.
