A particle of mass m moves in the logarithmic potential V(r) = C In (r/ro). Show...

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A particle of mass m moves in the logarithmic potential V(r) = C In (r/ro). Show that: (a) All cigenstates have the same mean squared velocity. Find this mcan squared velocity. (b) The spacing between any two levels is independent of the mass m. A particle of mass m moves in the logarithmic potential V(r) = C In (r/ro). Show that: (a) All cigenstates have the same mean squared velocity. Find this mcan squared velocity. (b) The spacing between any two levels is independent of the mass m.

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