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Problem on Dirac Notation

  1. Apr 6, 2013 #1
    1. The problem statement, all variables and given/known data

    1. Given that |ψ> = eiπ/5|a> + eiπ/4|b>, express <ψ| as a linear combination of <a| and <b|.

    2. What properties characterise the bra <a| that is associated with the ket |a>?

    2. Relevant equations

    3. The attempt at a solution

    1. <ψ| = e-iπ/5<a| + e-iπ/4<b|

    2. a. The bra <a| when applied on the ket |a> will give 1.
    b. The bra <a| is a linear function, which applied on the other elements of the vector space of |a> will give a complex scalar.

    Comments are welcome.
     
  2. jcsd
  3. Apr 6, 2013 #2

    BruceW

    User Avatar
    Homework Helper

    looks good to me. although 2)a) is only true when |a> is a normalised state vector. If you can assume that it is normalised, then its fine.
     
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