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"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 P

c) simultaneous measurements of X and P

x

p

"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 P

_{x}of the momentum, to yield a result included between p_{1}and p_{2}.c) simultaneous measurements of X and P

_{z}to yieldx

_{1}≤ x ≤ x_{2}p

_{z}≥ 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.