Heisenberg picture (source code)

= Heisenberg picture
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In the Heisenberg picture, states are fixed and an observable evolves as
$$
A_H(t)=U(t)^\dagger A_S U(t).
$$
For a time-independent Schrödinger-picture observable,
$$
\frac{dA_H}{dt}=\frac i\hbar[H,A_H].
$$