Date of Original Version
Localization and diffusion parameters are calculated for particles adsorbed over inhomogeneous substrates for discrete and quasicontinuous spectra of the adsorbed states. The results are expressed via the angular harmonics of the correlation function of surface roughness. The problem is solved analytically in the limiting cases of longwave particles and large correlation radii of surface inhomogeneities. Elsewhere, the problem is solved numerically for Gaussian correlation of inhomogeneities. Applications to electrons on helium films, mobile adsorbed hydrogen atoms and molecules, ultra-cold neutrons in gravitational or magnetic field, etc., are discussed.
A.Stepaniants, D.Sarkisov, A.E. Meyerovich and A.Steyerl. Localization of Ultra-Cold Particles over Rough Substrates J.Low Temp.Phys.., 113, 1159 (1998). Available at: http://link.springer.com/article/10.1023/A%3A1022501727861