dorsal/arxiv
View SchemaOn the classical treatment of the Stark effect in hydrogen atoms
| Authors | Fabio Sattin |
|---|---|
| Categories | |
| ArXiv ID | physics/9807036 |
| URL | https://arxiv.org/abs/physics/9807036 |
Abstract
A classical model of the hydrogen atom in a static electric field is studied, basing upon the work [ Hooker A. et al, {\it Phys. Rev. A}, 55 (1997) 4609 ]. In that work the electrons are supposed to move along Kepler orbits around the nucleus, while interacting with the external field. That classical model reproduces very well the true energy shift of the linear Stark effect. The agreement with the second order effect is poor. It is shown here that the results for the quadratic Stark effect may be considerably improved if the electrons are still allowed to move along classical trajectories, but whose initial conditions are statistically sampled from a distribution resembling the quantum mechanical one.
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"abstract": "A classical model of the hydrogen atom in a static electric field is studied,\nbasing upon the work [ Hooker A. et al, {\\it Phys. Rev. A}, 55 (1997) 4609 ].\nIn that work the electrons are supposed to move along Kepler orbits around the\nnucleus, while interacting with the external field. That classical model\nreproduces very well the true energy shift of the linear Stark effect. The\nagreement with the second order effect is poor. It is shown here that the\nresults for the quadratic Stark effect may be considerably improved if the\nelectrons are still allowed to move along classical trajectories, but whose\ninitial conditions are statistically sampled from a distribution resembling the\nquantum mechanical one.",
"arxiv_id": "physics/9807036",
"authors": [
"Fabio Sattin"
],
"categories": [
"physics.atom-ph",
"physics.class-ph"
],
"title": "On the classical treatment of the Stark effect in hydrogen atoms",
"url": "https://arxiv.org/abs/physics/9807036"
},
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