Physics – Quantum Physics
Scientific paper
2010-07-22
Annals Phys.325:2132-2139,2010
Physics
Quantum Physics
To appear in Annals of Physics
Scientific paper
10.1016/j.aop.2010.06.008
It is shown that a normalisable probability density can be defined for the entire complex plane in the modified de Broglie-Bohm quantum mechanics, which gives complex quantum trajectories. This work is in continuation of a previous one that defined a conserved probability for most of the regions in the complex space in terms of a trajectory integral, indicating a dynamical origin of quantum probability. There it was also shown that the quantum trajectories obtained are the same characteristic curves that propagate information about the conserved probability density. Though the probability density we now adopt for those regions left out in the previous work is not conserved locally, the net source of probability for such regions is seen to be zero in the example considered, allowing to make the total probability conserved. The new combined probability density agrees with the Born's probability everywhere on the real line, as required. A major fall out of the present scheme is that it explains why in the classical limit the imaginary parts of trajectories are not observed even indirectly and particles are confined close to the real line.
No associations
LandOfFree
Probability and complex quantum trajectories: Finding the missing links does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Probability and complex quantum trajectories: Finding the missing links, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probability and complex quantum trajectories: Finding the missing links will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-611467