Principles of Quantum Mechanics · Problem 12.3.6

Rotational Invariance and Angular Momentum — R. Shankar

Physics — Quantum Mechanics · rotationally-invariant-problems

Problem

Consider a particle of mass

\mu

constrained to move on a circle of radius

a

. Show that

H = L_z^2/2\mu a^2

. Solve the eigenvalue problem of

H

and interpret the degeneracy.