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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 |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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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)|–).
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)|–).
Expert Solution
Step 1

The state of the system is given as-

ψ(t)>=c+(t)+>+c-(t)->

Therefore,

σ3=Pauli matrix=100-1and Hamiltonian H=Eo2σ3=Eo2100-1orH=Eo200-Eo2where +>=10 and ->=01 withmeasurements are 1 and -1 respectively.

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