Consider a particle moving in a 3D central potentialV(r) = Br², where 3 > 0 is some constant. Solve the time independent Schrödinger equation to find the energy levels. (a) What is the ground state energy of the particle? (b) What is the ground state wave function (x,y, z) of the particle? (c) What is the degeneracy of the nth energy level? (The convention here is that n = 0 corresponds to the ground state.)

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Consider a particle moving in a 3D central potential V(r) = Br2, where B > 0 is some constant. Solve the
time independent Schrödinger equation to find the energy levels.
(a) What is the ground state energy of the particle?
(b) What is the ground state wave function (x, y, z) of the particle?
(c) What is the degeneracy of the nth energy level? (The convention here is that n = 0 corresponds to
the ground state.)
Transcribed Image Text:Consider a particle moving in a 3D central potential V(r) = Br2, where B > 0 is some constant. Solve the time independent Schrödinger equation to find the energy levels. (a) What is the ground state energy of the particle? (b) What is the ground state wave function (x, y, z) of the particle? (c) What is the degeneracy of the nth energy level? (The convention here is that n = 0 corresponds to the ground state.)
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