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Step-by-step solution to Problem 23 of Chapter 5 from Arthur Beiser’s "Concepts of Modern Physics.”
(a) Find the possible energies of the particle in the box of Exercise 21 by substituting its wave function in Schrödinger’s equation and solving for E. (Hint: Inside the box U=0.)
(b) Compare the ground-state energy of a particle in a one dimensional box of length L with that of a particle in the three dimensional box.

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