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Energy is the conserved quantity associated to time-translation invariance and represents the work a system is capable of doing. Use this tag for questions about energy, and consider adding the [energy-conservation] tag if it is specifically about its conservation.

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How does the "speed" of the wavefunction of the electron relate to the speed of the electron...

To elaborate the point of WillO, note that velocity is a property of the state of a particle, not of the particle itself. Just like a particle can be in a state that is a linear superposition of state …
Rajat Mondal's user avatar