The Mandelstam-Tamm and Heisenberg time-energy uncertainty relations are not universally valid because their derivation divides by a vanishing time derivative for eigenstates of energy or the observable.
On Time in Quantum Physics
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abstract
First, I briefly review the different conceptions of time held by three rival interpretations of quantum theory: the collapse of the wave-packet, the pilot-wave interpretation, and the Everett interpretation (Section 2). Then I turn to a much less controversial task: to expound the recent understanding of the time-energy uncertainty principle, and indeed of uncertainty principles in general, that has been established by such authors as Busch, Hilgevoord and Uffink. Although this may at first seem a narrow topic, I point out connections to other conceptual topics about time in quantum theory: for example, the question under what circumstances there is a time operator (Section 4.3).
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Critical look at the time-energy uncertainty relations
The Mandelstam-Tamm and Heisenberg time-energy uncertainty relations are not universally valid because their derivation divides by a vanishing time derivative for eigenstates of energy or the observable.