Question

6. (a) Consider the infinite square well again. Let the width of the well be a and the particle mass be m. Find an expression for the probability that a particle in the state, vi will be found in the region a/4 <x<3a/4. (b) Repeat part (a) for the nth eigenstate, yn, for arbitrary n. Show that the answer reduces to the classical value of 2 as n 00.

Answer 1

Consider an infinite square well of width a. Let the width of the well be a and a particle has a mass m.

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