巨配分函数 o.Boson InE=InE(B,a,V)=In2-aN-BE =∑wi+a）n(wi+am）-(wi+a】 -(aiIn ai-al)-(wilnwi-wi)-(a+Bs)al} =∑o,ht+ah+-a+ea al wl wjea+Bs al=ea+Be-1 w+a1= ea+BsI-1 w1+a4=1-e-B]- 1+a 1=e0+Be W1 a hE=∑ornl-ea-g）'+a4a+Bs）-aa+6el ∑a1-ea-m巨配分函数 Boson ln Ξ = ln Ξ(𝛽, 𝛼, 𝑉) = ln Ω − 𝛼𝑁 − 𝛽𝐸 = Õ 𝑙 { [(𝜔𝑙 + 𝑎𝑙) ln(𝜔𝑙 + 𝑎𝑙) − (𝜔𝑙 + 𝑎𝑙)] − (𝑎𝑙 ln 𝑎𝑙 − 𝑎𝑙) − (𝜔𝑙 ln𝜔𝑙 − 𝜔𝑙) − (𝛼 + 𝛽𝜀)𝑎𝑙} = Õ 𝑙 n 𝜔𝑙 ln 𝜔𝑙 + 𝑎𝑙 𝜔𝑙 + 𝑎𝑙 ln 𝜔𝑙 + 𝑎𝑙 𝑎𝑙 − (𝛼 + 𝛽𝜀𝑙)𝑎𝑙 o 𝑎𝑙 = 𝜔𝑙 𝑒 𝛼+𝛽 𝜀𝑙 − 1 𝜔𝑙 + 𝑎𝑙 = 𝜔𝑙𝑒 𝛼+𝛽 𝜀𝑙 𝑒 𝛼+𝛽 𝜀𝑙 − 1 𝜔𝑙 + 𝑎𝑙 𝜔𝑙 = [1 − 𝑒 −𝛼−𝛽 𝜀𝑙 ] −1 𝜔𝑙 + 𝑎𝑙 𝑎𝑙 = 𝑒 𝛼+𝛽 𝜀𝑙 ln Ξ = Õ 𝑙 h 𝜔𝑙 ln 1 − 𝑒 −𝛼−𝛽 𝜀𝑙 −1 + 𝑎𝑙(𝛼 + 𝛽𝜀𝑙) − 𝑎𝑙(𝛼 + 𝛽𝜀𝑙) i = − Õ 𝑙 𝜔𝑙 ln 1 − 𝑒 −𝛼−𝛽 𝜀𝑙