According to Bohmian quantum mechanics, dependence of quantum potential on all factors and boundary conditions, locally reflects the whole even in the one-particle case. But physicists usually use the term non-locality only in many-particle processes. Unfortunately, physicists usually do not consider the importance of the quantum potential and its dependence on form rather than amplitude in the one-particle case. Bohr was very clear about this non-locality. He did not use that word, he preferred to talk about the wholeness involved in quantum phenomena. What do you think about non-locality?
I think non locality is not restricted to multipartite systems exclusively,in some cases it may be possible for a single particle to show non locality.People are cold towards Bohmian QM because it reproduces the results of standard QM with a higher level of mathematical complexity.So they use Occam's razor to reject it.
This is however not justified in my opinion.Bohm's mechanics introduces a kind of conceptual simplicity to QM at the cost of mathematical simplicity.General Relativity does the same to Newtonian Gravity.Elaborate mathematics is not reason enough to reject a theory.
Disagree with previous reply: Bohm does not add insight in QM by assuming a deeper classical view
The notion of non-locality is model dependent. In some models it exists. In other models it is pure nonsense.
What's the mean of non-locality for a single particle? Non-locality is the interactions of particles with space-like intervals. so non-locality for a single particle is nonsense. but for one field we can speak of non-locality,that the value of the filed in two or more space-like points be related.
In Bohm's theory if the wave be physical field we can speak of non-locality for that.(In fact in bohm's theory because the theory is non-relativistic this is so). Also we can speak of non-locality for the system of the particle and the field.
It seems that historically the Bohm approach was misunderstood because the belief that it was an attempt to return to classical physics. It was not, it was an attempt to examine the formalism from a different viewpoint.
The concept of single particle nonlocality is discussed in the following papers:
S. M. Tan, D. F. Walls, and M. J. Collett, Phys. Rev. Lett. 66, 252 (1991).
L. Hardy, Phys. Rev. Lett. 73, 2279 (1994).
J.Dunningham and V.Vedral, Phys. Rev. Lett. 99, 180404 (2007)
- Badges
- Science topic
- Similar topics
- Physical Sciences
- Quantum Physics
- Quantum Mechanics