Hamilton-Jacobi theory in \(k\)-cosymplectic field theories (Q2874229)
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scientific article; zbMATH DE number 6251669
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamilton-Jacobi theory in \(k\)-cosymplectic field theories |
scientific article; zbMATH DE number 6251669 |
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29 January 2014
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Hamilton-Jacobi theory
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\(k\)-cosymplectic field theories
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0.9759146
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0.9295877
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0.9062998
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0.90398514
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0.90297747
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0.8988964
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0.8982751
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0.8974793
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Hamilton-Jacobi theory in \(k\)-cosymplectic field theories (English)
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The authors extend to \(k\)-cosymplectic field theories the Hamilton-Jacobi formalism, which has been successful in classical mechanics. Their approach ``is based on a method developed by \textit{J. F. Cariñena} et al. [Int. J. Geom. Methods Mod. Phys. 3, No. 7, 1417--1458 (2006; Zbl 1158.70007); ibid. 7, No. 3, 431--454 (2010; Zbl 1337.70038)] for classical mechanics''.NEWLINENEWLINEIn this framework, the dynamics associated with a Hamiltonian function is interpreted as a suitable family of vector fields.
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