So the eigenfuctions of h must obey blochs theorem in

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Unformatted text preview: u = 0 . Similarly, if you hop to the left from site u = 0 , you will magically be transported to site L − 1 . The same phenomenology affects the electrons bound to this system. Note that the arrangement of atoms still displays the translational symmetry of the lattice: sliding the change of atoms by any amount j a , with j ∈ Integers will leave the chain of atoms ˆ indistinguishable from its initial configuration. So the eigenfuctions of H must obey Bloch’s theorem. In ad...
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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.

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