Theoretische Physik VI - Statistische Physik Blatt 6

Problem 6.4

h = 6.626*10^-34; hbar = h/2/π; L = 10^-2; 
    M = (1.00794 + 
            35.453) 1.660538782 10^(-27); μ = (1.00794 1.660538782 10^(-27) 35.453 1.660538782 10^(-27)) /M; 
    d = 1.3 10^-10; kb = 1.380658 10^(-23);

3 hbar^2 π^2/(2 M L^2)

hbar^2/(2 kb μ d^2)

kb 14.6

Integrate[Exp[- a b x^2], {x, 0, ∞}, 
      Assumptions -> Re[a b] > 0]

Integrate[(2  l + 
            1) Exp[-β γ (l^2 + l)], {l, 
        0, ∞}, 
      Assumptions -> Re[β γ] > 0]

Integrate[x Exp[-β γ x^2], {x, 1/2, ∞}, 
      Assumptions -> Re[β γ] > 0]