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Physics

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    $\begingroup$ where does (3) come from? $\endgroup$ Commented Jul 9, 2020 at 14:27
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    $\begingroup$ Isn't it two physically completely different things, if I observe how that state in which a system is evolves by time, or if I investigate the time evolution of the operator itself? $\endgroup$ Commented Jul 9, 2020 at 14:27
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    $\begingroup$ You've skipped an $i/\hbar$ in (3) needed for (4). $\endgroup$ Commented Jul 9, 2020 at 14:47
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    $\begingroup$ @Phoenix87 That's just a "pathological example". $\endgroup$ Commented Jul 9, 2020 at 14:51
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    $\begingroup$ It's then clear from (3) that A is solely a function of $t-i\hbar f$, which is the time-shifted Heisenberg picture operator when f is imaginary. $\endgroup$ Commented Jul 9, 2020 at 15:03