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 for the time independent wavefunction, v(0), is V2 2/ = Ey 12 02 20 = 2m 2m R2 202 Ey Prove that the normalised eigenstates, subject to the boundary condition v (0) = v(0 + 27), are tine n2 12 Un = 2TR and En = 2m R2 where n is an integer