The Spherical Oscillator

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Hi,

I wonder if someone can point me in the right direction. I'm after a mathematical [preferably Lagrangian] treatment of the spherical oscillator (an important physical model used, for instance, in quark confinement, or to model atom traps). Like the Kepler problem, I believe, it's a case where a central force leads to a closed trajectory (?).

Could someone suggest some suitable article(s) online, or reliable texts [hopefully not too advanced; I need to be able to follow the mathematics]? I haven't had much success at finding anything of use so far.

Cheers. :-)
 

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