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Problem: Long Range Interaction

      Particles in a linear chain are located at positions tex2html_wrap_inline5801 , where a is the lattice spacing and j is an integer. The coupling between the particles is represented by springs. The spring constant between the ith and jth particles depends on the distance between the particles: tex2html_wrap_inline5811 .

What is tex2html_wrap_inline5813 if the phonon dispersion is a perfect straight line, tex2html_wrap_inline5815 ?

 


This document can be accessed on the World Wide Web at "http//:solidstate.physics.sunysb.edu/book/prob/ ".

Laszlo Mihaly
Thu Oct 31 13:23:11 EST 1996


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