[問題] 固態物理
(a) show that the chemical potential of a two dimensional “free electron gas”
may be expressed analytically as
E /K T
F B
μ(T)=k T ln(e^ －1).
B
x
dx e
Note:∫----- ＝ ln〔--------〕
x x
1＋e 1＋e
(b)Calculate the low temperature chemical potential of a two dimensional
“free electron gas ”by Sommerfeld expansion method
Observe that the temperature series expansion terminates.
Compare this result with the exact result of the previous question.
Discuss the difference between the two results.
要請各位高手幫忙解題了，謝謝！
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