Is there an operator which corresponds to time whose commutator with the Hamiltonian equals ih? I mean, when you collapse the wave function by taking an energy measurement, then at that instant the uncertainty in energy is 0. But then as times goes on the state will be that energy eigenstate and vary with time exp(-iEt/h), and then you get uncertainty in energy times that of time >= h/2? You see, I don't really get that. Is this the reason that for a harmonic oscillator (whose energy levels are all discrete) you can excite a change in energy levels even if your photon doesn't have a frequency equal to the natural frequency of the oscillator, violating conservation of energy?(adsbygoogle = window.adsbygoogle || []).push({});

P.S. h=planck's constant divided by 2pi

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# Energy-time uncertainty relation

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