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

Physics – Quantum Physics

Scientific paper

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Scientific paper

In this paper, we introduce the 3D-Quantum Stationary Hamilton Jacobi Equation for a central potential, and establish the 3D quantum law of motion of an electron in the presence of such a potential. We establish a system of three differential equations from which, and as a numerical application, we plot the 3D quantum trajectories of Hydrogen's electron. We show also the existence of nodes for these trajectories.

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