(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. 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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# Homework Help: Matrix mechanics

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