Study related with the generation of the conditional intensities of ideal Bose-gas

Abstract

In this paper, we well answer on the following question :

Are there any conditions on the chemical potential and temperature of an ideal BOSE gas when we generate the conditional intensities of ideal Bose-gas , for these will be the position distribution of the ideal Bose-gas is a Gibbs-process ?

From the study we show that no conditions on the chemical potential and thermodynamical temperature of an ideal BOSE gas when we generate the conditional intensities of ideal Bose-gas except that the fundamental conditions , so that the chemical potential is negative and the inverse temperature is positive . so the position distribution of the ideal Bose-gas may not be a Gibbs-process , and may be a Gibbs-process in the special case when the thermodynamical temperature of the ideal BOSE gas tend to the absolute zero