- #1

Sciencemaster

- 98

- 15

Let's say we have a wave function. Maybe it's in a potential well, maybe not, I think it's arbitrary here. This wave function is one-dimensional for now to keep things simple. Then, we use a device, maybe a photon emitter and detector system where the photon crosses paths with the wave function of our other particle at some point. If the photon does not reach the detector, that's where are particle is. As such, we know where it is to some finite region. There is going to be some uncertainty in our measurement, so I don't imagine it's simply a delta function. Additionally, if our detector does

*not*measure the particle, what happens to the wave function? I would imagine that the new wave function is the same as the pre-collapse wave function, except for in the region with the detector, where the probability drops to zero in a piecewise fashion.

Essentially, my question is the same as the tagline. Once we collapse a particle's wave function to a finite region, or measure it to

*not*be in a finite region, how do we mathematically model its wave function?