- #1
Joao Victor
- 5
- 0
I was solving an exercise from Cohen's textbook, but then I got stuck in this question.
"Let ψ(x,y,z) = ψ(r) the normalized wave function of a particle. Express in terms of ψ(r) the probability for:
b) a measurement of the component Px of the momentum, to yield a result included between p1 and p2.
c) simultaneous measurements of X and Pz to yield
x1 ≤ x ≤ x2
pz ≥ 0"
I've tried to work it out, but using the wave function in position space instead of using in momentum space really got me in trouble. I do now that they are related to each other by a Fourier Transform, but the expressions in terms of ψ(x,y,z) are a mess! I hope you guys can help me soon, so I can proceed on my study.
"Let ψ(x,y,z) = ψ(r) the normalized wave function of a particle. Express in terms of ψ(r) the probability for:
b) a measurement of the component Px of the momentum, to yield a result included between p1 and p2.
c) simultaneous measurements of X and Pz to yield
x1 ≤ x ≤ x2
pz ≥ 0"
I've tried to work it out, but using the wave function in position space instead of using in momentum space really got me in trouble. I do now that they are related to each other by a Fourier Transform, but the expressions in terms of ψ(x,y,z) are a mess! I hope you guys can help me soon, so I can proceed on my study.