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Find zero angular momentum, normalized energy eigenstates, and the energy eigenvalues, by solving the radial equation.

(See attached file for full problem description)

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2. A particle of mass m is constrained to move between two concentric, impermeable spheres of radii r = a and r = b. The potential V( r ) = 0 between the spheres (a<r<b), and V(r) = otherwise. Find all of the zero angular momentum (l = 0) normalized energy eigenstates, and the energy eigenvalues, by solving the radial equation

(see equation in attached file)

with R(r)= u(r)/r for this situation.

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