7. A particle is confined to move on a ring of radius R along which the potential is equal to zero. With E the particle energy show that Schrodingerstevens the time independent wavefunction, v (0), is V2 y = Ey 2m 2m R2 202 Ey Prove that the normalised eigenstates, subject to the boundary condition v(0) = (0 + 27), are n212 un fine and En = V2TR 2m R2 where n is an integer