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%                                               
%            Shizuoka University 
%       ----KANEKO & YAMASHITA LAB.----
%        Author: TSUCHIYA, Toru
%     File Name: rensyu11.tex
% Last Modified: Wed, 06 Jun 2007 15:28:07 +0900
%                                               
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\documentclass[a4j]{jarticle}

\begin{document}
�G�l���M�[�M���b�v$E_G$�����^�������̂̓`���d�q���x��$n$�C��C���x��
$p$�Ƃ����D�`���d�q�Ƌ�E�����ꂼ����s����$m_e$�C$m_h$�������R���q��
�݂Ȃ��΁C

\[
 n = p = 2\left\{\frac{2\pi \sqrt{m_em_h}kT}{h^2}\right\}^{\frac{3}{2}}e^{-E_G/2kT}
\]

�ƂȂ邱�ƁC�܂����̓d�q�n��Fermi�|�e���V������

\[
 \mu = \frac{1}{2}E_G + \frac{3}{4}kT\log\frac{m_h}{m_e}
\]

�ł��邱�Ƃ��������D�������C$E_G \gg kT$�Ƃ���D

\end{document}

