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Hamiltonian systems, symplectic flows, classical integrable systems

3 votes
Accepted

Derivation of an uncertainty principle from the symplectic non-squeezing theorem

Yes. see:The symplectic camel and phase space quantization, by Maurice De Gosson. Journal of Physics A: Mathematical and General, Volume 34, Number 47
Piyush Grover's user avatar
4 votes

Is there a high level reason why the inverse square law of gravitation yields periodic orbit...

The action-angle variables of the two-body graviational problem ('Kepler problem') are widely used in celestial mechanics community. These are called 'Delaunay variables' and make the toric structure …
Piyush Grover's user avatar