Starting with the equation of motion of a three-dimensional isotropic harmonic ocillator dp. = -kr, dt (i = 1,2, 3), deduce the conservation equation dA5 = 0, dt where 1 p.p,+kr,r,. 2m (Note that we will use the notations r, r2, r, and r, y, z interchangeably, and similarly for the components of p.)
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