1 H 2 E003 + € (e¬iwt|+>{-I+ elut|–)(+1)

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With the setup in image 1, the hamiltonian in image 2, and the initial condition at t=0: wavefunction psi (0) = |->, solve for the coecient functions c+-(t).

5. Consider the two state system with basis |±) which diagonalizes the Pauli matrix o3
Generally the state of the system at time t can be written as
|W(t)) = c4 (t)|+) +c_(t)|-).
Transcribed Image Text:5. Consider the two state system with basis |±) which diagonalizes the Pauli matrix o3 Generally the state of the system at time t can be written as |W(t)) = c4 (t)|+) +c_(t)|-).
H
2
Eoo3 + € (e-iut|+)(-|+e*wt|-}{+l)
Transcribed Image Text:H 2 Eoo3 + € (e-iut|+)(-|+e*wt|-}{+l)
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Step 1

The time evolution of a state |ψ> is given by:

Advanced Physics homework question answer, step 1, image 1

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