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ehrenfest
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Homework Statement
My book says that we can express
[tex] p_{nm} = -i \sqrt{M \omega \hbar} \left( \delta_{n,m-1}\sqrt{m} - \delta_{n,m+1} \sqrt{m+1}\right)[/tex]
and
[tex] x_{nm} = \sqrt{\hbar/2M\omega} \left( \delta_{n,m-1} \sqrt{m} +\delta_{n,m+1}\sqrt{m+1}\right)[/tex]
for the simple harmonic oscillator potential.
I want to calculate [p,x] = i h-bar.
Homework Equations
The Attempt at a Solution
What I am saying is that when I calculate
[tex] \sum_{k}x_{nk}p_{km} - \sum_{k}p_{nk}x_{km} [/tex]
I get 0. Can someone check that? If I need to I can post more work.
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