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Properties of Inner Product

  1. Jul 24, 2014 #1
    Hey guys I'm new here and I've been using MathType for all on-screen math. For some reason PF doesn't recognize the built-in Dirac's bra-ket notation. (i.e. <[itex]\psi[/itex]|) So I've included my equations and solution in the format of images, hopefully it isn't a problem.

    1. The problem statement, all variables and given/known data
    Proof that
    attachment.php?attachmentid=71615&stc=1&d=1406259782.gif



    2. Relevant equations
    All other properties of inner product.


    3. The attempt at a solution
    attachment.php?attachmentid=71616&stc=1&d=1406259905.gif
     

    Attached Files:

  2. jcsd
  3. Jul 24, 2014 #2
    Sorry I just realized a typo in my solution, but it doesn't affect the result:
    The typo is at where I said: "Then I moved on to the right side:"
    [tex]\alpha^*=6-5i
    [/tex]
    [tex]
    \beta=1+i
    [/tex]
    The beta should have a complex conjugate symbol (*):
    [tex]
    \beta^*=1+i
    [/tex]
     
  4. Jul 26, 2014 #3

    Redbelly98

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    Homework Helper

    In your initial calculation of [itex]< \alpha \omega |[/itex], the middle term is wrong. I haven't checked over your math any further than that and the [itex]< \beta \omega |[/itex] calculation.

    p.s. Moderator's note: I am moving this to Advanced Physics -- it doesn't really look like Introductory level physics to me, which we consider to be through (U.S.) college sophomore level.

    p.p.s. In LaTeX, simply typing "<", "|", and ">" for bras and kets seems to work okay, but not great.
     
  5. Jul 26, 2014 #4

    collinsmark

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    Homework Helper
    Gold Member

    As another [itex] \LaTeX [/itex] option is to use the /langle and /rangle together with "|" to do Dirac bra-ket notation.

    For example,
    Code (Text):
    [tex] \langle x | y \rangle [/tex]
    yields
    [tex] \langle x | y \rangle [/tex]

    [Edit: I still can't get them to scale up automatically though, in case the things in the bras and kets are larger and more complicated.]
     
    Last edited: Jul 26, 2014
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