Uniqueness of Bohmian Mechanics, and Solutions From Probability Conservation

Details Uniqueness of Bohmian Mechanics, and Solutions From Probability Conservation Uniqueness of Bohmian Mechanics, and Solutions From Probability Conservation

2007-10-22

arxiv.org/abs/0710.4099v1

Physics

Quantum Physics

7 pages, 5 figures

Scientific paper

We show that one-dimensional Bohmian mechanics is unique, in that, the Bohm trajectories are the only solutions that conserve total left (or right) probability. In Brandt et al., Phys. Lett. A, 249 (1998) 265--270, they define quantile motion--unique trajectories are solved by assuming that the total probability on each side of the particle is conserved. They argue that the quantile trajectories are identical to the Bohm trajectories. Their argument, however, fails to notice the gauge freedom in the definition of the quantum probability current. Our paper sidesteps this under-determinedness of the probability current. The one-dimensional probability conservation can be used for higher dimensional problems if the wave function is separable. Several examples are given using total left probability conservation, most notably, the two-slit experiment.

Affiliated with

Also associated with

No associations

Rating

Uniqueness of Bohmian Mechanics, and Solutions From Probability Conservation 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 Uniqueness of Bohmian Mechanics, and Solutions From Probability Conservation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness of Bohmian Mechanics, and Solutions From Probability Conservation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-358493