Background
The top voted answer to this question seems to make some assumptions I'm uncertain about (to say the least): What is $\Delta t$ in the time-energy uncertainty principle?
Assumptions
- The uncertainty principle is usually a statement about the measurement (while it is true they are applicable during the unitary process as well. They usually are not used in that context).
- Since they usually the measurement is considered a discontinuous process is he considering an interpretation where there is no measurement such as many worlds?
Question
Is there a version of this derivation (compatible with the discontinuous measurement interpretations of quantum mechanics) where one is allowed to use the calculus in the way he does (both integration and differentiation)?
P.S: I have already commented on this.
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