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Unformatted text preview: in of atoms as a linear combination of the ϕ u ( x ) ’s. We will assume that our chain of atoms is finite in length, but will impose periodic boundary conditions. To explain these boundary conditions, consider hopping from atomic site to atomic site. Hopping to the right in the figure will take you from atomic site u to atomic site u + 1 . Suppose now that you hop to the right in the figure from site L − 1 . Within our assumed periodic boundary conditions, you will magically be transported to the atomic site...
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This homework help was uploaded on 02/17/2014 for the course PHYSICS 214 taught by Professor A during the Spring '10 term at University of Illinois, Urbana Champaign.
 Spring '10
 A
 Physics

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