Physics – Quantum Physics
Scientific paper
1999-05-03
Found.Phys. 29 (1999) 1863-1916
Physics
Quantum Physics
16 pages, 5 figures, AMS-latex. Argument condensed. No changes to content
Scientific paper
The generic Bohmian trajectories are calculated for an isolated particle in an approximate energy eigenstate, for an arbitrary one-dimensional potential well. It is shown, that the necessary and sufficient condition for there to be a negligible probability of the trajectory deviating significantly from the classical trajectory at any stage in the motion is, that the state be a narrowly localised wave packet. The properties of the Bohmian trajectories are discussed in relationship to the theory of retrodictively optimal simultaneous measurements of position and momentum which was presented in several previous papers. It is shown that the Bohmian velocity at x is the expectation value of the velocity which would be observed at x, if one were to make a retrodictively optimal simultaneous measurement of x and p, in the limit as the error in the measurement of x tends to zero. This explains the tendency of the Bohmian particle to behave in a highly non-classical manner. It also explains why the trajectories in the interpretation recently proposed by Garcia de Polavieja tend to be much more nearly classical in the limit of large quantum number. The implications for other trajectory interpretations are considered.
No associations
LandOfFree
Generic Bohmian Trajectories of an Isolated Particle 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 Generic Bohmian Trajectories of an Isolated Particle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generic Bohmian Trajectories of an Isolated Particle will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-258261