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

I've seen this example for using the Heisenberg equation of motion to solve the Simple Hamonic Oscillator.

http://en.wikipedia.org/wiki/Heisenberg_picture#Commutator_relations"

However, if you wereonlyinterested in one variable, lets say position, on how the the position operator varies in time and its resulting expectation values: Would is it neccessary to find and solve the equation of motion for P as well?

Also once one has the relevant equation of potion:

[tex]\frac{dX(t)}{dt} = \frac{p(0)}{m} [/tex]

Why is it so often solved by differentiating the equation a second time and solving, rather than just integrating?

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Question about the Heisenberg Picture

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