The thermoelectric effect in hollow cylindrical specimens (of circular
and slit-like shapes) is considered The detailed analysis of the beha
vior of the superconducting thin-walled cylinder in presence of normal
current, is presented The ratio of magnetic fluxes through the cylind
er in superconducting and normal states is calculated as a function of
temperature, wall thickness and other parameters of the superconducto
rs. The ''gigantic'' thermoelectric effect is discussed using the conc
ept of quantum transitions between the magnetic levels of cylindrical
system. Some experimentally observable predictions are made.