2. Schrödinger equation in matrix notation Write out the Schrödinger equation i? d/dt ?_n c_n(t)|E_n? = H ?_n c_n(t)|E_n? in matrix form for the two-state system and verify the result in Equation 3.8 in the text book, i.e.: dc_k(t)/dt = -i E_k/? c_k(t)
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Step 1: Write out the Schrodinger equation in matrix form for the two-state system: The Schrodinger equation in matrix form for the two-state system is given by: \[ i\hbar \frac{d}{dt} \begin{pmatrix} c_1 \\ c_2 \end{pmatrix} = \begin{pmatrix} E_{11} & E_{12} \\ Show more…
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