  We study Bose-Einstein condensation in a linear trap with a dimple potential
where we model dimple potentials by Dirac \del function. Attractive and
repulsive dimple potentials are taken into account. This model allows simple,
explicit numerical and analytical investigations of noninteracting gases. Thus,
the \Sch is used instead of the Gross-Pitaevski equation. We calculate the
atomic density, the chemical potential, the critical temperature and the
condensate fraction. The role of the relative depth of the dimple potential
with respect to the linear trap in large condensate formation at enhanced
temperatures is clearly revealed. Moreover, we also present a semi-classical
method for calculating various quantities such as entropy analytically.
Moreover, we compare the results of this paper with the results of a previous
paper in which the harmonic trap with a dimple potential in 1D was
investigated.
