The DOI matches its Crossref record.
Correlation between Measurements in Quantum Theory
Open accessAbstract
An attempt to extend the postulational basis of quantum theory by introducing correlations between the results of measurements, developed in this article, leads to negative joint probabilities for otherwise meaningful sets of measured values. Since, so far as can be seen, the attempt made is the only one compatible with the theory of random variables, and is incompatible with the structure of Hilbert space, we conclude that correlations are absent. This result, though it is tantamount to a denial of von Neumann's projection postulate and the “reduction of wave packets” on measurement, is nevertheless shown to be entirely satisfactory from the physical point of view.
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
The Statistical Interpretation of Quantum Mechanics
BALLENTINE, L. E. (1970) · Reviews of Modern Physics · doi:10.1103/revmodphys.42.358 · Cited by 1,033
Theory and application of the quantum phase-space distribution functions
Lee, H.-W. (1995) · Physics Reports · doi:10.1016/0370-1573(95)00007-4 · Cited by 773
Metadata
- Authors
- Margenau, H., & Hill, R. N.
- Venue
- Progress of Theoretical Physics
- Publisher
- Oxford University Press (OUP)
- Published
- 1961-11
- Volume
- 26
- Issue
- 5
- Pages
- 722-738
- ISSN
- 0033-068X (ISSN-L)
- OpenAlex
- W2080936681
- Cited by
- 274
- References
- 0
- FWCI
- 1.27
- Type
- journal article
- Language
- en
- Open access
- bronze
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: Correlation between Measurements in Quantum Theory. https://app.cochat.ai/papers/10.1143/ptp.26.722
- The paper
- Margenau, H., & Hill, R. N. (1961). Correlation between Measurements in Quantum Theory. Progress of Theoretical Physics. https://doi.org/10.1143/ptp.26.722
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.
