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I Blochs theorem

  1. Aug 21, 2016 #1
    As I understand it Blochs theorem says that the solutions to the one electron Schrödinger equation in a periodic potential has the form:

    ψ(r) = exp(i kr)un(r)
    , where un(r) has the same periodicity as the lattice and n labels the band number.

    Now a detail that confuses me: In a book I am reading (see attached picture) the function u is labeled by two quantum numbers: The band index as well as the wavenumber k. Why does u depend on the wavenumber? Am I making a fuzz out of an unimportant detail?
     

    Attached Files:

  2. jcsd
  3. Aug 26, 2016 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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