The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
On the equilibrium states in quantum statistical mechanics
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
Kubo, R. (1957) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.12.570 · Cited by 9,441
Theory of Many-Particle Systems. I
Martin, P. C., & Schwinger, J. (1959) · Physical Review · doi:10.1103/physrev.115.1342 · Cited by 1,816
Theory of Many-Particle Systems. I
MARTIN, P. C., & SCHWINGER, J. (2000) · World Scientific Series in 20th Century Physics · doi:10.1142/9789812795694_0024 · Cited by 968
NELSON, E. B. (1959) · Annals of Mathematics · doi:10.2307/1970331 · Cited by 730
Les algèbres d'opérateurs dans l'espace Hilbertien (algèbres de von Neumann)
Dixmier, J. (1957) · CERN Document Server (European Organization for Nuclear Research) · Cited by 322
Covariance algebras in field theory and statistical mechanics
Doplicher, S., Kastler, D., & Robinson, D. W. (1966) · Communications in Mathematical Physics · doi:10.1007/bf01645459 · Cited by 139
Invariant states in statistical mechanics
Kastler, D., & Robinson, D. W. (1966) · Communications in Mathematical Physics · doi:10.1007/bf01645409 · Cited by 88
Ruelle, D. P. (1966) · Communications in Mathematical Physics · doi:10.1007/bf01645450 · Cited by 82
Research works printed but not linked: 7
- Araki, H., andE. J. Woods: J. Math. Phys.4, 637 (1963). · doi:10.1063/1.1704002
- Haag, R.: Lecture Notes, Pacific Summer School, Hawaii (1965).
- Araki, H., andW. Wyss: Helv. Phys. Acta37, 136 (1964).
- Dell Antonio, G. F., S. Doplicher, andRuelle D.: Commun. Math. Phys.2, 223 (1966). · doi:10.1007/bf01773354
- Ruelle, D.: Helv. Phys. Acta36, 789 (1963).
- Dyson, F. J., andA. Lenard: Preprint.
- Segal, I.E.: Mat. Fys. Medd. Dan. Vid. Selsk.31, 12 (1959).
Cited by
Wehrl, A. (1978) · Reviews of Modern Physics · doi:10.1103/revmodphys.50.221 · Cited by 1,963
Kay, B. S., & Wald, R. M. (1991) · Physics Reports · doi:10.1016/0370-1573(91)90015-e · Cited by 574
Traversable Wormholes via a Double Trace Deformation
Gao, P., Jafferis, D. L., & Wall, A. C. (2016) · arXiv · doi:10.48550/arxiv.1608.05687 · Cited by 520
“9) where in the second line we used large N factorization and causality, in that OL commutes with any φR, in the third line we used the KMS condition [21] 〈OR(t)OL(t′)〉tfd = 〈OR(t)OR(t + iβ/2)〉tfd (2.”
MethodTraversable wormholes via a double trace deformation
Gao, P., Jafferis, D. L., & Wall, A. C. (2017) · Journal of High Energy Physics · doi:10.1007/jhep12(2017)151 · Cited by 520
Conditional expectations in von Neumann algebras
Takesaki, M. (1972) · Journal of Functional Analysis · doi:10.1016/0022-1236(72)90004-3 · Cited by 477
Metadata
- Authors
- Haag, R., Hugenholtz, N. M., & Winnink, M.
- Venue
- Communications in Mathematical Physics
- Published
- 1967-06
- Volume
- 5
- Issue
- 3
- Pages
- 215-236
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2059799037
- Cited by
- 759
- References
- 8
- FWCI
- 11.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
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
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.