Question 6 (Spherical symmetric potential)In quantum mechanics we know that when a spherical symmetric potential V(x,y,z) = V(r) acts on aparticle is angular momentum operator L² commutes with the Hamiltonianp²L²H =+V(r):h² 1 d2m r² ər²2). + + V(r)2m2mr²Note that since the angular dependence is found only in the L², we can separate variables in the wavefunction.Consider a particle in a spherical and infinite potential well:V(r) = { forSo for 0 ≤rsar>aa) Write the differential equation of the radial part.b) Compute the energy levels and the stationary wave function for l = 0 (Use change of variablesuch that U(r)=rR(r)).

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Answered: Question 6 (Spherical symmetric…

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