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seen Oct 28 '12 at 22:36

Dec
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Oct
29
comment Non-linear dynamics of classical hydrogen atom
@ Ron Maimon: "nexus" means link. I don't think there is a link between the pure dynamics of a system and system of units you choose for describing the problem. It's obvious that orbits have a size but you could express such a size by the dimensional constants you prefer, and this won't affect the very existence of the orbits, in other words I think you are wrong about the fact that you must introduce ℏ to make stable orbits pop out: if the equations of motion predict the existence of stable orbits, these orbits exist whether I write their expressions in terms of ℏ or of every other dimensiona
Oct
29
comment Non-linear dynamics of classical hydrogen atom
@ Ron Maimon: I really can't see the nexus between stability and dimensional parameters. Isn't stability (or instability) a feature of the dynamics independent of the dimensional scale, provided that I preserve proportions among dimensional parameters? I mean I could put equations of motion in adimensional form and rescale them ad libitum, nonetheless if they admit limit cycles or single equilibrium points these will continue to be present irrespective from the scale I chose. Second, I haven't understood the point on thermodynamic considerations, could you give me some reference about?
Oct
28
asked Non-linear dynamics of classical hydrogen atom