The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Symplectic geometry and second quantization
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Integrity signals
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Here, we have adopted the convention of [25] (see chapter 9) which makes the Poisson bracket { A i a ( x ) , E b j ( y ) } = Gδ b a δ i j δ ( x, y ), enabling us to express ˆ E a i ( x ) as -iG ¯ hδ/δA i a ( x ).”
From Quantum theory of geometry: I. Area operators (1997) · cites this paper as [25]
Citations
Cites
Quantization and unitary representations
Kostant, B. (1970) · Lecture Notes in Mathematics · doi:10.1007/bfb0079068 · Cited by 1,039
Mathematical problems of relativistic physics
Segal, I. E., & Mackey, G. W. (1963) · American Mathematical Society eBooks · Cited by 374
(2026) · Dissertationes Mathematicae · doi:10.4064/dm · Cited by 198
A canonical structure for classical field theories
Kijowski, J., & Szczyrba, W. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608496 · Cited by 136
Self-citationElementary particles in a curved space. III
Frønsdal, C., & Haugen, R. B. (1975) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.12.3810 · Cited by 95
Differential Geometrical Methods in Mathematical Physics
Bleuler, K., & Reetz, A. (1977) · Lecture notes in mathematics · doi:10.1007/bfb0087778 · Cited by 66
Quantization and representation theory
Blattner, R. J. (1973) · Proceedings of symposia in pure mathematics · doi:10.1090/pspum/026/0341529 · Cited by 60
On the geometrization of the canonical formalism in the classical field theory
Gawędzki, K. (1972) · Reports on Mathematical Physics · doi:10.1016/0034-4877(72)90014-6 · Cited by 58
Geometric structure of quantization
Kijowski, J. (1977) · Lecture notes in mathematics · doi:10.1007/bfb0087785 · Cited by 7
Self-citation
Research works printed but not linked: 1
- Wilson, 1974, Phys. Rev., D 10, 2445
Cited by
Quantum theory of geometry: I. Area operators
Ashtekar, A., & Lewandowski, J. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/1a/006 · Cited by 852
Canonical theories of Lagrangian dynamical systems in physics
Kastrup, H. A. (1983) · Physics Reports · doi:10.1016/0370-1573(83)90037-6 · Cited by 125
“…essentially the DeDonder Weyl form I2~as a multi-symplectic canonical form, with some modifications in mind [Trautmann, 1967, 1972; Sniatycki, 1970; Kijowski, 1972, 1973, 1974, 1977; Kijowski and Szczyrba, 1976; Kijowski and Tulczyjew, 1979; Gawedzki, 1972; Gawedzki and Kondracki, 1974; Tulczyjew,…”
BackgroundFusion basis for lattice gauge theory and loop quantum gravity
Delcamp, C., Dittrich, B., & Riello, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep02(2017)061 · Cited by 108
Flux formulation of loop quantum gravity: classical framework
Dittrich, B., & Geiller, M. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/13/135016 · Cited by 61
“[24] J.”
BackgroundCanonical Quantum Gravity, Constructive QFT, and Renormalisation
Thiemann, T. (2020) · Frontiers in Physics · doi:10.3389/fphy.2020.548232 · Cited by 42
Metadata
- Authors
- Kijowski, J.
- Affiliations
- University of Warsaw (PL)
- Corresponding author
- Kijowski, Jerzy
- ORCID
- Kijowski, Jerzy
- Venue
- Reports on Mathematical Physics
- Publisher
- Elsevier BV
- Published
- 1977-02
- Volume
- 11
- Issue
- 1
- Pages
- 97-109
- ISSN
- 0034-4877 (ISSN-L)
- OpenAlex
- W2093351495
- Cited by
- 31
- References
- 9
- Citations by year
- 2022: 1 · 2021: 4 · 2020: 1 · 2018: 1 · 2017: 8 · 2016: 4 · 2015: 1 · 2014: 1 · 2013: 1
- FWCI
- 0.45
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- Locations
- Reports on Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- symplectic geometry, second quantization, quantum states, inverse limits, measurement instruments, field theory, curved spacetime, quantum field theory
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.
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Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: Symplectic geometry and second quantization. https://app.cochat.ai/papers/10.1016/0034-4877(77)90022-2
- The paper
- Kijowski, J. (1977). Symplectic geometry and second quantization. Reports on Mathematical Physics. https://doi.org/10.1016/0034-4877(77)90022-2
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.
