Variable pairs in uncertainty relation?

[Nemus]

I have been trying to figure out other pairs of variables in Heisenberg's uncertainty relationship apart from the well known position-momentum and time-energy pairs.
I am particularly interested in electric fireld strength and magnetic field strenght.
The reason for my interest is that if I figure this out (or somebody tells me), then there would be a way to calculate how the correlation between two initially spin correlated particles decays as they move apart. You know, if there is a certain level of fluctuations in the magnetic field even in a perfect vaccuum, the famous spooky-action-at-adistance would at least have a distance limit.

 

[f95toli]

Charge-phase is a conjugate pair, not quite E and B but at least related quantities.

Btw, time and energy is not a "real" pair; time is not an observable in QM.

 

[SpectraCat]

I have been trying to figure out other pairs of variables in Heisenberg's uncertainty relationship apart from the well known position-momentum and time-energy pairs.
I am particularly interested in electric fireld strength and magnetic field strenght.
The reason for my interest is that if I figure this out (or somebody tells me), then there would be a way to calculate how the correlation between two initially spin correlated particles decays as they move apart. You know, if there is a certain level of fluctuations in the magnetic field even in a perfect vaccuum, the famous spooky-action-at-adistance would at least have a distance limit.

The projections of angular momentum on different spatial axes also do not commute. This is the basis of the triple Stern-Gerlach experiment.

 

[Nemus]

Phase of what?

You are of course correct that the energy-time pair is different. Very useful though.

 

[f95toli]

Phase of what?

It depends. In most experiments one uses the phase of e.g. a superconducting junction (known as a Josephson junction) or a ring. Google "Phase qubit".