Bohm's quantumforce time series: Stable distribution, flat power spectrum, and implication
Abstract
New insight into the nature of Bohm's quantum force is presented. Based on our numerical study, we conclude that, for the kicked pendulum, Bohm's quantumforce timeseries for nonstationary states is typically or generically nonGaussian stable distributed with a flat power spectrum. For fixed system parameters and initial wave function, the stable parameters and the constant value of the power spectrum are independent of the initial Bohmian angle. We conjecture that these properties of the quantumforce timeseries are also typical or generic for other classically chaotic Hamiltonian dynamical systems since the kicked pendulum is a prototypical member of this class of systems. A new method of calculating the quantum probability density of a particle's position implied by these quantumforce properties is described.
 Publication:

Physical Review A
 Pub Date:
 April 2001
 DOI:
 10.1103/PhysRevA.63.042105
 Bibcode:
 2001PhRvA..63d2105L
 Keywords:

 03.65.Ta;
 05.45.a;
 Foundations of quantum mechanics;
 measurement theory;
 Nonlinear dynamics and chaos