On the classical treatment of the Stark effect in hydrogen atoms

Details On the classical treatment of the Stark effect in hydrogen atoms On the classical treatment of the Stark effect in hydrogen atoms

1998-07-21

arxiv.org/abs/physics/9807036v1

Physics

Atomic Physics

LaTeX, 11 pag., no figures To be published in Il Nuovo Cimento D (May 1998)

Scientific paper

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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