Question

3) The Schrodinger equation for a particle in a ring can be expressed as 2 a2 Hy (op) Ey(p), where H e RP, k is an integer (CP) 21 a 2 a) What is the potential energy? b) What is the kinetic energy? c) Write the Schrodinger equation d) Derive the eigenvalue e) Show that (p) y(p+2n) f Derive an expression for the probability density for a particle in a ring?

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the explanation to part a-d is given in the attached file

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