Mathematical Methods of Classical Mechanics
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Even though one can always have canonical pairs in a Hamiltonian system, as guaranteed by the Darboux theorem, in practice finding them may not be a trivial task.
“Even though one can always have canonical pairs in a Hamiltonian system, as guaranteed by the Darboux theorem (Arnold, 1989), in practice, however, finding them may not be a trivial task.”
From Berry phase effects on electronic properties (2010) · cites this paper as Arnold, 1989
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Entropy and the Typicality of Universes
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Lagrangian form of Schrödinger equation
Arsenović, D., Burić, N., Davidović, D. M., & Prvanović, S. (2014) · Foundations of Physics · doi:10.1007/s10701-014-9810-4 · Cited by 4 · see citing works
- Authors
- Arnold, V. I.
- Venue
- Graduate Texts in Mathematics
- Publisher
- Springer New York
- Published
- 1989
- ISSN
- 0072-5285 (ISSN-L)
- OpenAlex
- W2126479355
- Cited by
- 9,116
- References
- 0
- Citations by year
- 2026: 143 · 2025: 243 · 2024: 223 · 2023: 279 · 2022: 199 · 2021: 333 · 2020: 293 · 2019: 323 · 2018: 287 · 2017: 234 · 2016: 309 · 2015: 329 · 2014: 380 · 2013: 371 · 2012: 314
- FWCI
- 68.26
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Graduate texts in mathematics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Dynamics and Control of Mechanical Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Control and Stability of Dynamical Systems
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
- Keywords
- classical mechanics, dynamics, Lagrangian mechanics, Hamiltonian mechanics, variational principle, rigid body motion, celestial mechanics
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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.
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