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Physics, Astronomy & Cosmology / Re: Does quantum mechanics (QM) require an absolute time frame?
« on: 21/10/2015 17:43:00 »Lightarrow, can that be taken as saying that originally QT had a universal time, but later "incarnations" introduced a relative aspect to time, so that there is no longer a universal time requirement?
Yes, in "relativistic quantum mechanics" only, however, not the common QM we find in the most common books. If it's not explicitly written "relativistic QM" then it's "non relativistic QM".
https://en.wikipedia.org/wiki/Relativistic_quantum_mechanics
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Space and time
In classical mechanics and non-relativistic QM, time is an absolute quantity: all observers and particles can always agree on, "ticking away" in the background independent of space. Thus in non-relativistic QM one has for a many particle system ψ(r1, r2, r3, ..., t, σ1, σ2, σ3...).
In relativistic mechanics, the spatial coordinates and coordinate time are not absolute; any two observers moving relative to each other can measure different locations and times of events. The position and time coordinates combine naturally into a four-dimensional spacetime position X = (ct, r) corresponding to events, and the energy and 3-momentum combine naturally into the four momentum P = (E/c, p) of a dynamic particle, as measured in some reference frame, change according to a Lorentz transformation as one measures in a different frame boosted and/or rotated relative the original frame in consideration. The derivative operators, and hence the energy and 3-momentum operators, are also non-invariant and change under Lorentz transformations.
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lightarrow