Darboux's problem of quadratic integrals
- 1 April 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (5) , 985-988
- https://doi.org/10.1088/0305-4470/17/5/021
Abstract
The problem of determining all standard classical Hamiltonians in two dimensions with Euclidean metric which admit constants of motion quadratic in the momenta is resolved. Several general results are given which make it obvious that the systems found do possess such integrals.Keywords
This publication has 1 reference indexed in Scilit:
- A systematic search for nonrelativistic systems with dynamical symmetriesIl Nuovo Cimento A (1971-1996), 1967