3D Quantum Trajectories. Quantum orbits of the Hydrogen's electron
Quantum Physics
2014-02-26 v2 High Energy Physics - Theory
Atomic Physics
Abstract
In this paper, we introduced the 3D-Quantum Stationary Hamilton Jacobi Equation for a central potential, and established the 3D quantum law of motion of an electron in the presence of such a potential. We established a system of three differential equations from which, and as a numerical application, we plotted the 3D quantum trajectories of the Hydrogen's electron for the ground state and two excited states. we did a comparison between a supposed classical trajectory of the hydrogen electron and the corresponding QTs. We found out that for a particular set of the hidden variables, the QT is close in its shape to the classical one.
Cite
@article{arxiv.quant-ph/0404175,
title = {3D Quantum Trajectories. Quantum orbits of the Hydrogen's electron},
author = {T. Djama},
journal= {arXiv preprint arXiv:quant-ph/0404175},
year = {2014}
}
Comments
Latex, 20 pages, 10 eps figures. figures format changes, included in the body of the paper. redaction changes