I Energy*time uncertainty for particle decay

[jjson775]

TL;DR Summary

If a particle decays into two gamma rays, how do you calculate the energy time uncertainty?

If a particle decays into two gamma rays, what is the energy time uncertainty?
ΔEΔt = h bar or
ΔEΔt = h bar/2
Please explain.

 

[PeterDonis]

what is the energy time uncertainty?

There is no such thing. Energy and time are not complementary observables, so there is no uncertainty relation between them. Indeed, time isn't an observable at all, it's a parameter.

It is possible, if you pick some observable other than energy, to construct a relation that sort of kind of looks like an uncertainty relation between energy (the Hamiltonian) and the time it takes for that observable to change significantly. But I don't think that's what you're asking about.

More here:

https://math.ucr.edu/home/baez/uncertainty.html