- #1
WWCY
- 479
- 12
Hi all, I have the following query:
I understand that the "make-up" of momentum probability density ##|\tilde{\Psi}|^2## has an effect on the motion of the spatial probability density ##|\Psi|^2##. For example, a Gaussian ##|\tilde{\Psi}|^2## centred far to the right will cause ##|\Psi|^2## to travel right over time.
However, is there any way to pinpoint the effects that a certain range of ##|\tilde{\Psi}|^2## has on ##|\Psi|^2##? For example, could one find out what effects momenta ##p ∈ [p_1,p_2]## have on the motion of ##|\Psi|^2##?
Thanks in advance!
I understand that the "make-up" of momentum probability density ##|\tilde{\Psi}|^2## has an effect on the motion of the spatial probability density ##|\Psi|^2##. For example, a Gaussian ##|\tilde{\Psi}|^2## centred far to the right will cause ##|\Psi|^2## to travel right over time.
However, is there any way to pinpoint the effects that a certain range of ##|\tilde{\Psi}|^2## has on ##|\Psi|^2##? For example, could one find out what effects momenta ##p ∈ [p_1,p_2]## have on the motion of ##|\Psi|^2##?
Thanks in advance!