I was wondering- is it possible to derive an equation of motion for example, the Schrodinger equation from the uncertainty principle (in commutator form)?(adsbygoogle = window.adsbygoogle || []).push({});

i.e. Is it possible to derive the Schrodinger equation from the following:

[tex]\left[\hat{x},\hat{p}\right]=ih[/tex]

I gave it a shot, but of course, all I came out with is ih=ih (which of course is correct), and is the derivation of the uncertainty principle. However, I was actually wondering if I could use the commutation relation as an equation of motion for a wave function. Is this possible?

Thanks.

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# Schrodinger equation from commuation relations

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