dorsal/arxiv
View Schema3D Quantum Trajectories. Quantum orbits of the Hydrogen's electron
| Authors | T. Djama |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404175 |
| URL | https://arxiv.org/abs/quant-ph/0404175 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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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"date_created": "2026-03-02T18:02:06.925000Z",
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"abstract": "In this paper, we introduced the 3D-Quantum Stationary Hamilton Jacobi\nEquation for a central potential, and established the 3D quantum law of motion\nof an electron in the presence of such a potential. We established a system of\nthree differential equations from which, and as a numerical application, we\nplotted the 3D quantum trajectories of the Hydrogen\u0027s electron for the ground\nstate and two excited states. we did a comparison between a supposed classical\ntrajectory of the hydrogen electron and the corresponding QTs. We found out\nthat for a particular set of the hidden variables, the QT is close in its shape\nto the classical one.",
"arxiv_id": "quant-ph/0404175",
"authors": [
"T. Djama"
],
"categories": [
"quant-ph",
"hep-th",
"physics.atom-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "3D Quantum Trajectories. Quantum orbits of the Hydrogen\u0027s electron",
"url": "https://arxiv.org/abs/quant-ph/0404175"
},
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