Breakdown of the connection between symmetries and conservation laws for semiholonomic systems

Nivaldo A. Lemos

doi:10.1119/5.0067183

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arXiv · 2111.06226

Breakdown of the connection between symmetries and conservation laws for semiholonomic systems

Nivaldo A. Lemos

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Abstract

Integrable velocity-dependent constraints are said to be semiholonomic. For good reasons, holonomic and semiholonomic constraints are thought to be indistinguishable in Lagrangian mechanics. This well-founded belief notwithstanding, here we show by means of an example and a broad analysis that the connection between symmetries and conservation laws, which holds for holonomic systems, is not valid in general for systems subject to semiholonomic constraints.

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Nivaldo A. Lemos. 2021-11-03. Breakdown of the connection between symmetries and conservation laws for semiholonomic systems. https://doi.org/10.1119/5.0067183

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