Interaction of Atomic Hydrogen with the Surface of LiquidHe4

Abstract

The Euler-Lagrange equation for an impurity interacting with an inhomogeneous fluid is derived and applied to a description of the polarized hydrogen system, ${\mathrm{H}}_{\mathrm{\uparrow }}$, ${\mathrm{D}}_{\mathrm{\uparrow }}$, and ${\mathrm{T}}_{\mathrm{\uparrow }}$ on the surface of liquid ${}_{}{}^4{}_{}{}^{}\mathrm{He}$. We find well-defined, strongly bound physisorbed states for ${\mathrm{T}}_{\mathrm{\uparrow }}$, and ${\mathrm{D}}_{\mathrm{\uparrow }}$ and a weakly bound physisorbed state for ${\mathrm{H}}_{\mathrm{\uparrow }}$.