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Results tagged with hamiltonian-mechanics
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user 85967
18
votes
Hamiltonian, Lagrangian and Newton formalism of mechanics
The three formalisms of classical mechanics, i.e. the Newtonian, the Lagrangian (analytical mechanics) and the Hamiltonian (canonical formalism) are generally not equivalent to each other -at least no …
- 7,746
4
votes
Accepted
When does a Lagrangian dynamical system have an equivalent Hamiltonian description?
Here's what I have done:
$\bullet$ Let the Lagrangian $L(q_{i},\dot{q}_{i},t)$, which under the point transformations
$$
\{q_{i}\}\leftrightsquigarrow\{Q_{i}\}
$$
given by the invertible relations $ …
- 7,746
2
votes
Practical example of Hamiltonian reduction
If i correctly understand your question, i think what you are talking about is the so called Poincare reduction method. This actually generalises Liouville integrability, in the sense that in the pres …
- 7,746