An electron is placed into an infinite square well.Which statement concerning the expectation value of the position and the probability function,$\Pi$(x),is true?
A)The expectation value for the position always occurs where the probability function is a maximum.
B)The expectation value for the position always occurs where the probability function is a minimum.
C)The expectation value for the position always occurs where the probability function is zero.
D)The expectation value for the position is equal to the probability function divided by the width of the well.
E)None are true.

Question

Quizplus · Accepted Answer

The expectation value of the position in an infinite square well does not necessarily align with the maximum, minimum, or zero points of the probability function, nor is it simply the probability function divided by the width of the well. The expectation value is a weighted average of all possible positions, and its relationship to the probability function's characteristics depends on the specific quantum state of the electron.

An Electron Is Placed into an Infinite Square Well Π\PiΠ (X),is True? A)The Expectation Value for the Position Always Occurs

An Electron Is Placed into an Infinite Square Well $\Pi$ (X),is True?
A)The Expectation Value for the Position Always Occurs