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2) Consider a particle in a three-dimensional harmonic oscillator potential
V (r, y, z) = 5mw²(r² + y² + z®).
The stationary states of such a system are given by ntm(r, y, z) = vn(x)¢r(y)v'm(2) (where the
functions on the right are the single-particle harmonic oscillator stationary states) with energies
Entm = hw(n +l+m+ ). Calculate the lifetime of the state 201.

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