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Confused about Bogoliubov transformation

  1. Dec 12, 2012 #1
    So I was told by my teacher today that I am doing the bogoliubov transformation wrong because I'm supposed to have 4 different vectors,

    i.e

    Instead of Ak and Bk

    A1k
    A2k

    and
    B1k
    B2k

    I'm wondering how this makes sense. I've seen papers with 2 different vectors and their complex counterparts but never 4 different vectors. Any help would be great.
     
  2. jcsd
  3. Dec 13, 2012 #2

    DrDu

    User Avatar
    Science Advisor

    Maybe you can give us the expressions you obtained for A and B.
     
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