The Quantum Newton's Law
Quantum Physics
2009-11-07 v2 High Energy Physics - Theory
Abstract
Using the quantum Hamilton-Jacobi equation within the framework of the equivalence postulate, we construct a Lagrangian of a quantum system in one dimension and derive a third order equation of motion representing a first integral of the quantum Newton's law. We then integrate this equation in the free particle case and compare our results to those of Floydian trajectories. Finally, we propose a quantum version of Jacobi's theorem.
Cite
@article{arxiv.quant-ph/0103071,
title = {The Quantum Newton's Law},
author = {A. Bouda and T. Djama},
journal= {arXiv preprint arXiv:quant-ph/0103071},
year = {2009}
}
Comments
10 pages, LateX, no figures, minor changes