Confused ( well obviously it QM ) - TDSE problem in understand

[NewScientist]

I have been looking at the TDSE (time dependent Shrodinger equation), considered when describing a system with only 2 states.

And essentially I got confused! Can i get a decent explanation?

To clarify I am fine with Hamiltonians, and the Hamiliton of a particle in an electromagnetic potential.

-NS

 

[inha]

Could you describe what is causing you problems?

 

[NewScientist]

In form

i h ( matrix 1) = H (matrix 2)

what is i?!

 

[jtbell]

In form
i h ( matrix 1) = H (matrix 2)
what is i?!

Usually $i = \sqrt{-1}$.