 
FIZIKA A 7 (1998) 3, 144156
NONLOCAL DYNAMICAL POTENTIALS NEAR CURVED SURFACES
LEONARDO MARUŠIĆ AND MARIJAN ŠUNJIĆ
Department of Physics, University of Zagreb, POB 162, 10000 Zagreb,
Croatia
Received 10 July 1998; Accepted 16 November 1998
We present a selfconsistent quantummechanical formulation of the nonlocal dynamical
potential near the surface of a solid describable in a coordinate system in which Laplace
equation is separable. We apply the formulation to calculate image potential on surfaces
with uniform curvature, i.e. planar, spherical and cylindrical surfaces. We also calculate
the dielectric function e(w) and
dispersion relations of surface modes in these systems.
PACS numbers: 73.20.Mf, 77.90.+k
UDC 538.971, 538.956
Keywords: surface of a solid, nonlocal dynamical potential, selfconsistent
quantummechanical formulation, image potential, planar, spherical and cylindrical
surfaces, dielectric function, dispersion relations of surface modes
