We can only measure one propriety at a time in quantum physics. wave or particle, one experiment at a time. The same goes for all quantum properties, we can measure quantum spin along 1 axis, but that makes it impossible to even know if it is even spinning along another axis(which we know it dose from prior measurements on just that axis, still not measurable)
The problem stems in the uncertainty principle and limits the information we can know of a quantum system without breaking this principle.
It even applies on motion vs position, if we pin down the position of an quantum particle, we can´t derive any information on where it came from or where it is going, as seen in the slith, smaller slith, smaller passage and more precise location of particle known = more distorted / spread waves.
Always interesting to read about :)
A new question arises from this, what happens when empty space is treated as a set of infinite slits? The answer is that the particle has a chance to take every possible path. This includes looping back on itself, visiting the center of the sun, and disappearing off to somewhere on the other side of the universe.
Or the model is simply wrong, reality does not work with infinite limits, but the maths on quantum physics does, there are is a massive discrepancy here :)
We can have information about multiple aspects, its just that the more information we measure about one the less information we can measure about the others
Exactly :) that is the definition of the uncertainty principle so u got my point, measure one aspect to 100% lose the others, simple.
I´ve set up numerous NMR experiments on this principle. We must measure the quantum spin along one axis forcing it to be zero along the others, and ignoring them, in order to relate the data to anything or even harder, quantify anything.
But the discrepancy in theory vs reality is extremely real and comes from the maths :) they cointain infinite limits etc and has nothing to do with reality!
Even in the most simple solutions of Schrodingers eq in 1D, with the harmonic oscillator model will result in brutal QTE due to these limits :)
Same goes for molecule models, electron dislocation outside molecules, due to the probability wave being outside the molecule in reality but not in theory!
peace
What minimum magnet strength is appropriate for these kinds of NMR experiments?
They are pretty big! I would say 10 T + we got one @ my old uni :) The magnet alone costed way over 1,000,000$
Standard example is the 21 T magnet, would resonate a proton @900 mhz!
And you also need a adiabatic balloon to cool the liquid hydrogen, which cools the circulation of liquid nitrogen which cools the massive magnet temperatures :)