1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simple dirac notation problem

  1. Nov 3, 2012 #1
    1. The problem statement, all variables and given/known data

    Imagine you have two vectors |a> and |b> such that:
    |c> = |a> + |b>

    Now imagine you want the dot product:

    <c|a>

    Is that the same as:

    <c|a> = [ <a|*+<b|* ] |a> = <a*|a> + <b*|a>

    where * represents the complex conjugate of the vector?


    2. Relevant equations



    3. The attempt at a solution~

    Thanks in advance for any answer.

    Daniel
     
  2. jcsd
  3. Nov 3, 2012 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    You'd not normally put the star outside the bra like that.
    if a is a state then |a> is the state vector corresponding to wavefunction Ya ... we may sometimes write |Ya> when you are starting out.

    ##<\psi_a|\psi>= \int \psi_a^\star \psi##

    (I'm hoping someone else can do a better job of this explanation. :/ )
    BTW: you know your vector |c> is not normalized right?
     
  4. Nov 3, 2012 #3
    Yes, I'm aware that |c> is not normalized, but in this case it doesn't matter. I'm just learning the math behind Dirac's notation. I am not yet working with state vectors or anything of that kind.
    Thanks for your answer!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Simple dirac notation problem
Loading...