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In any case, I was wondering on how I may use Mathematica to solve various Quantum Mechanics related problems through commutators. Like if it's possible to find out what is the form of a particular commutator from the Jacobi Identity.

To be more specific, say I define [x_i, x_j] and [x_i,p_j] to be something, how do I use mathematica to find [p_i, p_j].

As well as the coding to supposedly find the uncertainty relation of 2 operators, suppose I define the commutator to be of a certain form/value.

In general, I'm simply not familiar with mathematica and I would like to make my life easier in doing these relevant calculations. Hope someone might be able to enlighten me on this aspect.

Thanks!