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I am trying to solve a problem (not homework, too old for that! lol!) which involves the time dependent schrodinger equation for magnetic moment in time-dependent magnetic fields. I end up with the following that needs to be solved:
x' = -i*(b*t-a*t^2)*x - i*c*y
y' = -i*c*x - i*(a*t^2-b*t)*y;
where i^2 = -1.
These look like 2 coupled 1st order ODE, but are in fact 4 coupled 1st order due to the imaginary parts. Any hints?
x' = -i*(b*t-a*t^2)*x - i*c*y
y' = -i*c*x - i*(a*t^2-b*t)*y;
where i^2 = -1.
These look like 2 coupled 1st order ODE, but are in fact 4 coupled 1st order due to the imaginary parts. Any hints?