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Near-resonant excitation of a two-level system

  1. Nov 26, 2016 #1
    1. The problem statement, all variables and given/known data

    Hello, I have the following task:

    PEkJrLQ.jpg


    2. Relevant equations

    In the task


    3. The attempt at a solution

    I looked at this task with the notes from the class, but I can't really see through. It seems that the first step is the transformation into the single decoupled second order differential equation, but I don't actually understand how to do that and at which point I need a program to solve it. Can someone guide me through the solution process?

     
  2. jcsd
  3. Nov 26, 2016 #2

    DrClaude

    User Avatar

    Staff: Mentor

    Write the two equations for ##\dot{c}_0## and ##\dot{c}_1## and derive both sides with respect to time. It shouldn't be too hard to see then how to obtain the two uncoupled equations.
     
  4. Nov 26, 2016 #3
    Hello,
    thank you for helping me.

    I tried to do that and obtained the following:

    4JoQLpU.png

    If this is correct, I still don't see what I have to do in the next step and when I have to use a program.
     
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