Classical motion of an electron in an electric-dipole field II. Point dipole case
- 1 January 1968
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 1 (1) , 124-127
- https://doi.org/10.1088/0305-4470/1/1/317
Abstract
The classical motion of an electron in the field of a point electric dipole is analysed. It is shown that the only motion for which the distance γ from the dipole to the electron does not either increase without limit or decrease to and remain at zero is that for which γ is constant and the total energy E is zero. A necessary condition for such bound motion is D > 3 surd 3p2/4me, where D is the dipole moment, p is the component of angular momentum along the dipole axis, and m and e are the electronic mass and charge. It follows that any point dipole can bind an electron classically.Keywords
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