- #1

ahhppull

- 62

- 0

## Homework Statement

Consider ψ (x) for a particle in a box:

ψ

_{n}(x) = (2/L)

^{1/2}sin(n∏x/L)

Calculate the probability of finding the particle in the middle half of the box (i.e., L/4 ≤ x ≤ 3L/4). Also, using this solution show that as ''n'' goes to infinity you get the classical solution of 0.5.

## Homework Equations

## The Attempt at a Solution

I integrated and figured out the probability for n=1,2,3. For n=1 I got 1/2 + 1/∏ which is about 0.818. For n = 1 I got 1/2 and for n=3, I got 0.430.

I don't understand where the problem asks "Also, using this solution show that as ''n'' goes to infinity you get the classical solution of 0.5." From my calculations, as n goes to infinity, it does not approach a value of 0.5.