In my question I have to find what the commutation of a electrons kinetic and potentials energys are, in 3 Dimensions. I have started by finding the kinetic operator T and the potential energy from coloumbs law. I have then applied commutation brackets and I'm at the stage where I'm solving the commutation bracket for the x-direction. (and then apply symmetry for my 2 other axis) My question is, as we have to retain order when dealing with operators, how do I 'deal' with my(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\newcommand{\pd}[3]{ \frac{ \partial^{#3}{#1} }{ \partial {#2}^{#3} } }

xi \hbar \pd {} {x} {}

[/tex]

I presume I can't just differentate the x as I need to preserver order, does this just sit like this till I can 'deal' with it?

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# Operators and order

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