phy-4600/lecture_notes/1-28/Work a Hamiltonian Problem
2016-02-12 12:26:39 -05:00

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Magnetic Resonance Problem (pic 1)
This problem has time dependence (pic 2)
Time-dependent Ψ? (pic 3)
Plug in to Schrodinger Equation (pic 3)
Solve S.E. with unknown functions. (pic 4,5)
Plug back into S.E. from matrices
Nice concise equation system (pic 6)
↓ Time derivative of both sides (pic 7)
Final Solution? Yes, and apply initial conditions.
Minus sign is switched somewhere in these pictures