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Article . 1984
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Journal of Mathematical Physics
Article . 1984 . Peer-reviewed
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https://dx.doi.org/10.1063/1.5...
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Polynomial constants of motion in flat space

Polynomial constants of motion in a flat space
descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1984 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 25, pages 3,474-3,478 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )
Authors: Thompson, Gerard;

doi: 10.1063/1.526114

Polynomial constants of motion in flat space

Abstract

Some general results on commuting integrals for a Hamiltonian system are given. The question of the existence of integrals which are polynomial in the momenta is investigated and the results applied to a variety of mechanical systems.

Related Organizations
Keywords

Hamilton's equations, polynomial in the momenta, commuting integrals for a Hamiltonian system, Killing tensor, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
37
Top 10%
Top 10%
Top 10%
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