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Equations of motion, commutation relations and ambiguities in the Lagrangian formalism

✍ Scribed by Marc Henneaux


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
948 KB
Volume
140
Category
Article
ISSN
0003-4916

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✦ Synopsis


The inverse problem of the calculus of variations is analysed in the case of Newtonian mechanics.

Its connection with the question: "Does the equation of motion determine commutation relations?" raised some time ago by Wigner, is exhibited. All the Lagrangians that yield variational equations equivalent to a given set of second order differential equations are explicitly determined for some simple classes of forces.


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