Summary
In this paper we have considered a conservative holonomic dynamical system whose position is defined by a certain number of group variables. The Hamilton-Jacobi theorem for this system has been proved by the method of direct verification.
Zusammenfassung
Für konservative holonome Systeme, deren Lage durch eine gewisse Zahl von Gruppenvariablen definiert ist, wird das Theorem von Hamilton-Jacobi mittels direkter Verifikation bewiesen.
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References
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Hussain, M. Hamilton-Jacobi theorem in group variables. Journal of Applied Mathematics and Physics (ZAMP) 27, 285–287 (1976). https://doi.org/10.1007/BF01590811
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DOI: https://doi.org/10.1007/BF01590811