  We formulate a general scheme for calculation of thermodynamic properties of
ideal Bose gas with microscopic number of static impurities immersed, when the
system is loaded in the harmonic trapping potential with quasi-1D and quasi-2D
configurations. The binding energy of a single impurity and a detailed study of
the medium-induced Casimir-like forces between two impurities in trapped Bose
gas are numerically calculated in wide range of temperatures and interaction
strengths.
