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Generalized Hamiltonian dynamics
Abstract
The author’s procedure for passing from the Lagrangian to the Hamiltonian when the momenta are not independent functions of the velocities is put into a simpler and more practical form, the main results being obtained by a direct solution of the equations provided by the consistency requirements. It is shown how, under certain conditions, one can eliminate some of the degrees of freedom and so make a substantial simplification in the Hamiltonian formalism.
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Citations
Cited by
Quantum Theory of Gravity. I. The Canonical Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.160.1113 · Cited by 3,385
Quantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
General covariance in quantum gravity at a Lifshitz point
Hořava, P., & Melby-Thompson, C. M. (2010) · Physical Review D · doi:10.1103/physrevd.82.064027 · Cited by 261
A lagrangian basis for ashtekar’s reformulation of canonical gravity
Samuel, J. (1987) · Pramana · doi:10.1007/bf02847105 · Cited by 181
Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172
Metadata
- Authors
- Dirac, P. A. M.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1958-08-19
- Volume
- 246
- Issue
- 1246
- Pages
- 326-332
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2062512625
- Cited by
- 584
- References
- 0
- FWCI
- 6.21
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Generalized Hamiltonian dynamics. https://app.cochat.ai/papers/10.1098/rspa.1958.0141
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- Dirac, P. A. M. (1958). Generalized Hamiltonian dynamics. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1958.0141
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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.
