Answer to Question #178757 in Quantum Mechanics for kothai

Question

 Now use spherical coordinates, in which r2 = x2 + y2 + z2 and thus the oscillator potential is V(r) = 1/ 2 m omega^2^R^2. Again carry out a separation of variables, but now use spherical coordinates,  ψ n l m (r, θ, φ) = 1/r U(r)n l Y l m (θ, φ), (7) Derive the eigenvalue differential equations for the u(r), and also for the Y lm. You are not supposed to solve the radial equation for the u’s!

Answer 1

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