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Evolved wave function in Dirac formalism

  1. Jun 2, 2017 #1
    A system of |1> and |2>, in the beggining has a function |Ψ(0)>= cosa|1> + sina|2>.
    The energy of the system is;
    https://i.imgur.com/I0C7BFg.png
    a, ε,n are known. Find the |Ψ(t)>

    The solution is;
    https://i.imgur.com/urWs6XW.png

    It is known that; |Ψ(t)>= e^(-iHt/ħ) * |Ψ(0)>
    but I don't understand what happens with the energy H and what type of math it uses to make the cosa and sina into e^(-ia).
    Also note that the ε in H are the "∈" looking in the solution

    Can someone explain this?
     
  2. jcsd
  3. Jun 7, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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