Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
β Scribed by Marc Henneaux
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 948 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
β¦ 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.
π SIMILAR VOLUMES
Zentralinstitut far Astrophysik der Akademie der Wiase.nschaften der DDR
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