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Problem: Instability at the Fermi Wavenumber

      A weak periodic potential in the form of tex2html_wrap_inline6001 is created for a one-dimensional electron system ( tex2html_wrap_inline6003 is the Fermi wavenumber). Calculate E(k) for the lowest energy band, and determine the total energy of the system at zero temperature as a function of tex2html_wrap_inline6007 .  

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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