- #1
DrBrainDead
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Homework Statement
Kittel states at page 172, that the central equation for the Fourier components of waves in a periodic lattice is given by:
([tex]\lambda[/tex]k-E)*C(k)+[tex]\sum[/tex]UG*C(k-G)=0
From this he goes on to say "Once we determine the C's from (27), the wavefunctions (25) is given as:
[tex]\psi[/tex]k(x)=[tex]\sum[/tex]C(k-G)*exp(i(k-G)x)
I'm completely in the blank about how he got the C's isolated and got the above equation for the wavefunction..any help?
Homework Equations
Equation 27:
([tex]\lambda[/tex]k-E)*C(k)+[tex]\sum[/tex]UG*C(k-G)=0
Equation 25:
[tex]\psi[/tex](x)=[tex]\sum[/tex]C(k)*exp(i(k)x)