Non-relativistic q-gases with low critical temperatures

We propose a deformed q-oscillator system that allows the study of its ther modynamic properties when a deformation parameter q < 1. Our analysis shows that deformation is somehow connected to lambda -point transitions and tha t the different values of the deformation parameters can either favor criti cality or render it more difficult to attain. We show that in the non-relat ivistic case the critical temperature of condensation of the system present ed can be much smaller than in the non-deformed ideal bosonic gas. (C) 2001 Elsevier Science B.V. All rights reserved.