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How to get the solution of idU(t)/dt=H(t)U(t)

  1. Sep 11, 2011 #1
    i have a problem, please help me,
    i need to implement a numerical method to solve the following Schrodinger equation:
    idU(t)/dt=H(t)U(t)
    with:
    U(0)=1 (identity matrix)
    U(T)=UT (UT is some given unitary operator)
    where : H(t) is the Hamiltonian of the system, and
    U(t) is a unitary operator
    dimension of the operators is N*N (N is a non zero integer)
     
  2. jcsd
  3. Sep 11, 2011 #2
    the above problem is an ordinary diffirential equation, i know how to deal with ODE when the unknown is a real function, but when the unknown is an operator, i am confused.

    thank you
     
  4. Sep 12, 2011 #3
    i just need basic steps, i dont need all the details

    thank you
     
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