Rayleigh's Method Applied to a Conducting Liquid Drop in the Presence of a Point Charge

摘要

The method that Rayleigh formulated in 1879 is used to determine the effect of a point charge on the natural frequencies of a charged drop. Explicit expressions are derived for the resonant frequencies and the deformation of the charged drop. The results are expressed in terms of sums over particular types of Clebsch-Gordon coefficients and more complicated sums. Further work is necessary before practical application of the results can be made. (Author)