Скачать или смотреть Particle on a Ring | Schrödinger Equation, Energy & Angular Momentum Solutions | Arthur Beiser Ch. 6

Step-by-step solution to Problem 08 of Chapter 6 from Arthur Beiser’s "Concepts of Modern Physics.”
(a) What is Schrödinger’s equation for a particle of mass m that is constrained to move in a circle of radius R, so that depends only on φ? (b) Solve this equation for Ψ and evaluate the normalization constant. (Hint: Review the solution of Schrödinger’s equation for the hydrogen atom.) (c) Find the possible energies of the particle. (d) Find the possible angular momenta of the particle.

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