Problem on Dirac Notation

  • #1
1,344
33

Homework Statement



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>?

Homework Equations



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.
 

Answers and Replies

  • #2
BruceW
Homework Helper
3,611
120
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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