# Degeneracy in Ring Hamiltonian

Classical Mechanics Level pending

A particle constrained to move on a ring can be described by one parameter, the angle $$\phi$$ on the ring with respect to some coordinates. In quantum mechanics, an otherwise free particle constrained to move on this ring has the Hamiltonian

$\hat{H} = -\frac{d^2}{d\phi^2}.$

Which of the following correctly describes the spectrum of this Hamiltonian?

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