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Results tagged with hamiltonian-mechanics
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user 17047
6
votes
Is there a high level reason why the inverse square law of gravitation yields periodic orbit...
Here is an interpretation using symmetry reduction, but without explicitly using the Lenz-Runge vector (it's essentially an extended version of the example given in Cushman & Bates "Global aspects of …
- 5,824
2
votes
Mechanical systems with their configuration space being a Lie group
Other examples of Hamiltonian systems with phase space the cotangent bundle of a group are coming from lattice gauge theory.
There, a configuration is a map that assigns to every edge of the lattice a …
- 5,824
9
votes
are there natural examples of classical mechanics that happens on a symplectic manifold that...
The classical phase space of the spin degrees of freedom is represented by the two-sphere with a symplectic form given by $s$ times the standard volume form. This is clearly no cotangent bundle to som …
- 5,824
22
votes
Hamiltonian, Lagrangian and Newton formalism of mechanics
Each of the different formalism of classical mechanics has its advantages and disadvantages. However, in the end all three frameworks tend to be equivalent, and thus the following list is very subject …
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