Floydian trajectories for stationary systems: a modification for bound states
Abstract
The Floydian trajectory method of quantum mechanics and the appearance of microstates of the Schr\"{o}dinger equation are reviewed and contrasted with the Bohm interpretation of quantum mechanics. The kinematic equation of Floydian trajectories is analysed in detail and a new definition of the variational derivative of kinetic energy with respect to total energy is proposed for which Floydian trajectories have an explicit time dependence with a frequency equal to the beat frequency between adjacent pairs of energy eigenstates in the case of bound systems. In the case of unbound systems, Floydian and Bohmian trajectories are found to be related by a local transformation of time which is determined by the quantum potential.
Cite
@article{arxiv.quant-ph/0102102,
title = {Floydian trajectories for stationary systems: a modification for bound states},
author = {M. R. Brown},
journal= {arXiv preprint arXiv:quant-ph/0102102},
year = {2007}
}
Comments
No figures. Some changes made following helpful comments from M. Matone and E. R. Floyd