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3D Quantum Trajectories. Quantum orbits of the Hydrogen's electron

T. Djama
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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.

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T. Djama. 2004-04-30. 3D Quantum Trajectories. Quantum orbits of the Hydrogen's electron. https://arxiv.org/abs/quant-ph/0404175

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