1. Verify this result. {Hint: Introduce the transformation of variables x =β (ε-μ) and note the μ and μ 0 are close at small T .} 2. Answer the above question. (Hint: con-sider the average spatial...

1. Verify this result. {Hint: Introduce the transformation of variables x =β (ε-μ) and note the μ and μ₀
are close at small
T.}

2. Answer the above question. (Hint: con-sider the average spatial extent of the electronic wave function for the hydrogen atom as a function of n.}