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Results tagged with hamiltonian-mechanics
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user 86065
6
votes
1
answer
473
views
Non-Hamiltonian actions in physics
I was reading the following article when I came across the interesting sentence
"non-Hamiltonian [symplectic group] actions also occur in physics"
I took a cursory look at the article cited but not …
- 188k
2
votes
0
answers
99
views
Effective actions by non-commutative groups have non-commuting fundamental vector fields?
I have a bit of a contradiction in my brain and I was hoping once again that excellent Mathoverflow community could help me out :)
Let $\rho_g$ be the action associated to a non-abelian Lie Group $G$ …
- 989
2
votes
0
answers
480
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How to make sense of the Euler Lagrange equations for an infinite action?
The Euler–Lagrange equation is an equation satisfied by a function $q$, which is a stationary point of the functional
$S(\boldsymbol q) = \int_a^b L(t,q(t),\dot{q}(t))\, \mathrm{d}t$
Say we have an …
- 366
4
votes
1
answer
230
views
Contradiction between fixed points of a hamiltonian diffeomorphism of a torus and quasi-peri...
Again a very simple question. I currently hold two contradictory ideas in my head
1) A hamiltonian diffeomorphism of a torus necessarily has fixed points
2) most hamiltonian actions on a torus in an …
- 31.5k