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Cited by 266

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

The Hamiltonian Form of Field Dynamics

Open access
Dirac, P. A. M.·1951·Canadian Journal of Mathematics
DOI 10.4153/cjm-1951-001-2
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Abstract

In classical dynamics one has usually supposed that when one has solved the equations of motion one has done everything worth doing. However, with the further insight into general dynamical theory which has been provided by the discovery of quantum mechanics, one is lead to believe that this is not the case. It seems that there is some further work to be done, namely to group the solutions into families (each family corresponding to one principal function satisfying the Hamilton-Jacobi equation). The family does not have any importance from the point of view of Newtonian mechanics; but it is a family which corresponds to one state of motion in the quantum theory, so presumably the family has some deep significance in nature, not yet properly understood.

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Metadata

Authors
Dirac, P. A. M.
Venue
Canadian Journal of Mathematics
Publisher
Canadian Mathematical Society
Published
1951
Volume
3
Pages
1-23
ISSN
  • 0008-414X (ISSN-L)
  • 1496-4279
DOI
10.4153/cjm-1951-001-2
OpenAlex
W2314212607
Cited by
266
References
2
FWCI
2.49
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: The Hamiltonian Form of Field Dynamics. https://app.cochat.ai/papers/10.4153/cjm-1951-001-2
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Dirac, P. A. M. (1951). The Hamiltonian Form of Field Dynamics. Canadian Journal of Mathematics. https://doi.org/10.4153/cjm-1951-001-2

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.