Hi everyone, I am trying to calculate the Rabi transitions of a Spin-1 atom. The physical background of this problem, including an analytical solution (which is possibly not correct?) can be found here:
https://physics.stackexchange.com/questions/210012/rabi-problem-for-a-spin-1-particle
I was trying to solve the time dependent Schroedinger equation of this problem by using DSolve. For some strange reason, however, it does not work if i write the exponentials Exp[ix] in the form Cos[x]+iSin[x]. For testing purposes, I created a Mathematica notebook that uses the same hamiltonians, "hamil1" in exponential form and "hamil2" in the Cos/Sin form, see:
As you can verify by yourself, applying DSolve to hamil1 works, but not for hamil2.
For some other reason, FullSimplify[hamil1-hamil2] does not simplify to zero! However, it does if I simplify the difference of the matrix elements (also shown in this notebook).
Is there any problem with the definition of the hamiltonian matrices?
If I type "?hamil1" or "?hamil2", mathematica generates the following error message: An unknown box name (BoxForm`MakeRowBoxes) was sent as the BoxForm for the expression. Check the format rules for the expression.
I don't know how to interpret this message...
Can anybody help me?
Thanks!
Used version: Mathematica 13.1
