A linear chain consists of polarizable molecules which are separated by lattice spacing a. The molecules are fixed to their position, but they have an internal degree of freedom described by the equation of motion
where p is the electric dipole moment of the molecule (assumed to be
parallel to the chain), E is the local electric field, and 
is
the polarizability. Each molecule feels the electric field of the others.
The system is at zero temperature, and quantum effects are small.
Calculate and plot the dispersion curve 
for small amplitude
polarization waves (optical phonons). Discuss the behavior of 
as
a function of ?
Laszlo Mihaly
Thu Oct 31 13:23:11 EST 1996
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