# LaTeX2HTML 2K.1beta (1.47)
# Associate images original text with physical files.


$key = q/{displaymath}DeltaE_{n,m}=frac{hbar^2n^2k_i^2}{2m_n}-frac{hbar^2m^2k_f^2}{2m_n}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="396" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="\begin{displaymath}
\Delta E_{n,m} = \frac{\hbar^2 n^2 k_i^2}{2 m_n} -
\frac{\hbar^2 m^2 k_f^2}{2 m_n} .
\end{displaymath}">|; 

$key = q/{mathbfk}_f;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="${\mathbf k}_f$">|; 

$key = q/DeltaE;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$\Delta E$">|; 

$key = q/includegraphics[height=5.25in]{espace.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="614" HEIGHT="603" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="\includegraphics[height=5.25in]{espace.eps}">|; 

$key = q/{displaymath}{mathbfQ}_{n,m}=n{mathbfk}_i-m{mathbfk}_f,{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="360" HEIGHT="34" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="\begin{displaymath}
{\mathbf Q}_{n,m} = n {\mathbf k}_i - m {\mathbf k}_f,
\end{displaymath}">|; 

$key = q/|k_i|=|k_f|;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$\vert k_i\vert = \vert k_f\vert$">|; 

$key = q/E_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$E_i$">|; 

$key = q/Q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$Q$">|; 

$key = q/includegraphics[height=5.25in]{kspace.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="682" HEIGHT="602" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="\includegraphics[height=5.25in]{kspace.eps}">|; 

$key = q/{displaymath}DeltaE=frac{hbar^2k_i^2}{2m_n}-frac{hbar^2k_f^2}{2m_n}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="360" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="\begin{displaymath}
\Delta E = \frac{\hbar^2 k_i^2}{2 m_n} - \frac{\hbar^2 k_f^2}{2 m_n}
\end{displaymath}">|; 

$key = q/E_f;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$E_f$">|; 

$key = q/{displaymath}{mathbfQ}={mathbfk}_i-{mathbfk}_f{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="34" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="\begin{displaymath}
{\mathbf Q} = {\mathbf k}_i - {\mathbf k}_f
\end{displaymath}">|; 

$key = q/{mathbfk}_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="${\mathbf k}_i$">|; 

1;

