Polaron impurity states on a liquid helium film. Farias, G. A. & Peeters, F. M. Physical Review B, 55(6):3763–3768, February, 1997.
Polaron impurity states on a liquid helium film [link]Paper  doi  abstract   bibtex   
We calculate the ground and the first excited states of an electron trapped within a dimple on a thin liquid helium film. The electron is localized by a positive impurity charge which is located on the substrate supporting the film. The mechanical equilibrium equation for the liquid helium surface is coupled to the Schrödinger equation which are solved using a variational approach. The energies of the ground and first excited states are obtained as a function of the helium film thickness and external electrical, and magnetic fields which are directly perpendicular to the two-dimensional system.
@article{farias_polaron_1997,
	title = {Polaron impurity states on a liquid helium film},
	volume = {55},
	url = {http://dx.doi.org/10.1103/physrevb.55.3763},
	doi = {10.1103/physrevb.55.3763},
	abstract = {We calculate the ground and the first excited states of an electron trapped within a dimple on a thin liquid helium film. The electron is localized by a positive impurity charge which is located on the substrate supporting the film. The mechanical equilibrium equation for the liquid helium surface is coupled to the Schrödinger equation which are solved using a variational approach. The energies of the ground and first excited states are obtained as a function of the helium film thickness and external electrical, and magnetic fields which are directly perpendicular to the two-dimensional system.},
	number = {6},
	journal = {Physical Review B},
	author = {Farias, G. A. and Peeters, F. M.},
	month = feb,
	year = {1997},
	pages = {3763--3768}
}

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