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PROBLEM 1. Calculate the normalized wave function and the energy level
of the ground state (1 = 0) for a particle in the infinite spherical potential
well of radius R for which U(r) = 0 at r< R and U(r) = 0 at r > R.
HINT: Reduce the spherically-symmetric SE to a ld form using the substi-
tution (r) = x(r)/r.

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