ABSTRACT
Consider a gas of bosons whose total number is conserved. The equation for the fugacity is
nλ3 = g3/2(z) (11.1) and a qualitative plot of the function g3/2 is shown in Fig.11. 1. The function has infinite slope at z = 1, since
z d dz
g3/2(z) = g1/2(z) = ∞∑ =1
z√
(11.2)
and the series diverges at z = 1. It is thus bounded by the value
g3/2(1) = ∞∑ =1
−3/2 = ζ (3/2) = 2.612 . . . (11.3)
solution to (11.1)
nλ3 ≤ g3/2(1). (11.4)
This condition can be violated by increasing the density, or lowering the temperature. What then would be the value of z?
