Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 49, Issue 7, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.2956486
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We demonstrate that the formalism for the calculation of Jacobi's last multiplier for a one degree of freedom system extends naturally to systems of more than one degree of freedom thereby extending results of Whittaker dating from more than a century ago and Rao [Proceedings of the Benares Mathematical Society 2, 53 (1940)] dating from almost 70 years ago. We illustrate the theory with an application taken from the theory of coupled oscillators. We indicate how many Lagrangians can be obtained for such a system. (C) 2008 American Institute of Physics.
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