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 |v(t)) = c+(t)|+) +c_(t)|–).
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 |v(t)) = c+(t)|+) +c_(t)|–).
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Transcribed Image Text: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 timet can be written as
TW(t)) = c+(t)|+) +c_(t)|–).
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Step 1
The state of the system is given as-
Therefore,
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