Effects of confinement on a magnetized ideal gas II. The boson gas

The behavior of a confined magnetized ideal boson gas is examined. The effects of the dimensionalities of the system and the confinement potential as well as the effects of the field strength on the Bose-Einstein condensation are analyzed. It is shown that a phase transition does not occur in strongly confined systems. For the weakly confined gas a connection with the results of the non-confined magnetized gas is made. A correspondence is established between our results and those of a free gas of different dimensionality. The density of states of a particle moving in a three-dimensional space and confined by a cylindrically symmetric potential is calculated and used to explain the correspondence. The thermodynamic properties of the 3D - 2d gas are worked out in detail.