Wave eqtion of electron in a periodic potential

  • Thread starter JayKo
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quoted from Kittel text 8th edition page 170,171
the potential energy is U(x)=[tex]\Sigma[/tex][tex]U_{G}e^{iGx}[/tex]

but why it is also equal to-> U(x)=[tex]\Sigma[/tex][tex]U_{G}e^{iGx}+e^{-iGx}[/tex]


from text explanation, i couldn't get it why there is an extra term of [tex]e^{iGx}[/tex]

any 1 care to enlight me on this? thanks.
 
41
0
quoted from Kittel text 8th edition page 170,171
the potential energy is U(x)=[tex]\Sigma[/tex][tex]U_{G}e^{iGx}[/tex]

but why it is also equal to-> U(x)=[tex]\Sigma[/tex][tex]U_{G}e^{iGx}+e^{-iGx}[/tex]


from text explanation, i couldn't get it why there is an extra term of [tex]e^{iGx}[/tex]

any 1 care to enlight me on this? thanks.
There is an extra term e-iGx to make potential energy U(x) a real function.
 

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