N. Angelescu et al., GENERAL ONE-PARTICLE FLUCTUATIONS OF THE IDEAL BOSE-GAS, Journal of physics. A, mathematical and general, 29(13), 1996, pp. 3341-3356
Fluctuations of general one-particle observables, such as density, mom
entum, angular momentum and position, etc, are studied and their distr
ibution functions are explicitly obtained for all non-zero temperature
s. The normalization exponent for the fluctuation operators is explici
tly obtained for the three distinct phases of the ideal Bose gas: norm
al, critical and condensed.