  In multielectron bubbles, the electrons form an effectively two-dimensional
layer at the inner surface of the bubble in helium. The modes of oscillation of
the bubble surface (the ripplons) are influenced by the charge redistribution
of the electrons along the surface. The dispersion relation for these charge
redistribution modes (`longitudinal plasmons') is derived and the coupling of
these modes to the ripplons is analysed. We find that the ripplon-plasmon
coupling in a multielectron bubble differs markedly from that of electrons a
flat helium surface. An equation is presented relating the spherical harmonic
components of the charge redistribution to those of the shape deformation of
the bubble.
