Absence of Chaos in Bohmian Dynamics

Abstract
In a recent paper [1], O. F. de Alcantara Bonfim, J. Florencio, and F. C. S´ a Barreto claim to have found numerical evidence of chaos in the motion of a Bohmian quantum particle in a double square-well potential, for a wave function that is a superposition of five energy eigenstates. But according to the result proven here, chaos for this motion is impossible. We prove in fact that for a particle on the line in a superposition of n + 1 energy eigenstates, the Bohm motion x(t) is always quasiperiodic, with (at most) n frequencies. This means that there is a function F (y1, . . . , yn) of period 2π in each of its variables and n frequencies ω1, . . . , ωn such that x(t) = F (ω1t, . . . , ωnt). The Bohm motion for a quantum particle of mass m with wave function ψ = ψ(x, t), a solution to Schrödinger’s equation, is defined by..
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Translate to english
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 25,727
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Bohmian Mechanics.Sheldon Goldstein - 2008 - Stanford Encyclopedia of Philosophy.
The Ontology of Bohmian Mechanics.M. Esfeld, M. Hubert, D. Lazarovici & D. Durr - 2014 - British Journal for the Philosophy of Science 65 (4):773-796.
Bohmian Insights Into Quantum Chaos.James T. Cushing - 2000 - Philosophy of Science 67 (3):445.
Bohmian Mechanics Without Wave Function Ontology.Albert Sol? - 2013 - Studies in History and Philosophy of Science Part B 44 (4):365-378.

Monthly downloads

Added to index

2010-10-14

Total downloads

27 ( #182,000 of 2,146,490 )

Recent downloads (6 months)

1 ( #386,104 of 2,146,490 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums