Timeline for Is there a physical intuition for Darboux's theorem?
Current License: CC BY-SA 3.0
7 events
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| Feb 16, 2014 at 10:04 | history | edited | Robert Bryant | CC BY-SA 3.0 |
Fixed spelling of 'Hammiltonian'
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| Feb 16, 2014 at 10:03 | comment | added | Robert Bryant | @BenCrowell: Well, I used the word 'gauge', isn't that physics? :) Seriously, if one wanted, one could describe my answer in 'physics language' as saying that the symplectic form $\omega$ is just the 'field' of a 'potential' $\alpha$, and because the degree of freedom of the potential is the same as the degree of freedom of choice of coordinates, 'essentially all' potentials 'should' be (locally) equivalent up to change of coordinates. In this view, the 'flexibility' of symplectic geometry is just a manifestation of gauge equivalence of potentials '$\alpha$'. | |
| Feb 15, 2014 at 23:04 | comment | added | user21349 | This seems like a perfectly fine answer, but the question asked for physical intuition based on the application to Hamiltonian systems in which the phase space represents the motion of particles. I don't see any physics in this answer. | |
| Feb 15, 2014 at 19:27 | vote | accept | nikita | ||
| Feb 15, 2014 at 20:44 | |||||
| Feb 15, 2014 at 19:02 | vote | accept | nikita | ||
| Feb 15, 2014 at 19:27 | |||||
| Feb 15, 2014 at 11:09 | history | edited | Robert Bryant | CC BY-SA 3.0 |
corrected some typos and grammar
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| Feb 15, 2014 at 11:00 | history | answered | Robert Bryant | CC BY-SA 3.0 |