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Homework Help: Bcs theroy, just an easy algebraic manipulation

  1. Sep 24, 2010 #1
    bcs theroy, just an "easy" algebraic manipulation

    Hi folks,

    i'm sitting here for hous and I'm wondering, how one can find formula 3.35' on page 61 in Tinkham's book: http://books.google.de/books?id=k6A...superconductivity&pg=PA61#v=onepage&q&f=false

    I think, it should be possible to find this formula just with some algebraic manipulation of

    |u|^2 + |v|^2 = 1
    and
    |v/u| = (E - xi)/|Delta|

    However, I can't see how... I'm getting nuts...

    --
    derivator
     
  2. jcsd
  3. Sep 24, 2010 #2

    gabbagabbahey

    User Avatar
    Homework Helper
    Gold Member

    Re: bcs theroy, just an "easy" algebraic manipulation

    It is possible, but it's much easier to do as the author suggested and use (3.29c) together wuith the normalization condition:

    [tex]u^2+v^2=1[/itex]
    [tex]v^2-u^2=-\frac{\xi}{E}[/tex]

    ...add the two equations together, divide by 2 and you get [itex]v^2[/itex]
    ...subtract the 2nd from the 1st and divide by 2 and you get [itex]u^2[/itex]
     
  4. Sep 29, 2010 #3
    Re: bcs theroy, just an "easy" algebraic manipulation

    Thank you!
     
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