What Are the Correct Values for Probability and Momentum in a Quantum Well?

[PRASHANT KUMAR]

Homework Statement

A particle in one dimension is in the ground state of the potential well given by V(x)= 0 for |x|<L/2 and infinite otherwise. Let P+ be the probability that the particle is found to move along the positive x direction and p be the magnitude of the momentum for that state of motion. Then what will be the probability and momentum value?

answers:
(a) P+ = 0 and p = 0
(b) P+ =1/2 and p = pi/2L
(c) P+ = 1/2 and p= pi/L
(d) P+ = 1 and p = pi/L

Homework Equations

The Attempt at a Solution

from the theory of the particle in one dimensional potential well , the momentum eigen values are
given by = nh/2L and the probability of finding the particle in ground state in the positive direction should be half but my momentum value is not matched.

 

[mfb]

I agree with your approach.

Without some non-standard units the answers offered don’t even have the right units for the momentum.