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Homework Statement
Given state: |ψ> = |0> + α|1> + σ^2/√2 |2>
find the wavefunctions.
I am confused between states and wavefunctions, everywhere ive read it says that state (ie the wavefuctions), really need some enlightenment here..
Can you post the entire problem statement verbatim (word for word) as it is given to you?Homework Statement
Given state: |ψ> = |0> + α|1> + σ^2/√2 |2>
find the wavefunctions.
I am confused between states and wavefunctions, everywhere ive read it says that state (ie the wavefuctions), really need some enlightenment here..
What do you mean the second state? [itex]\hat{\rho}[/itex] is the density matrix, not a state.So i understand for the second state there wouldn be any wavefunctions as it is a mixed state.
The first state however is a pure state, so i went like x|ψ> . But after that im stuck, any hints so that i can continue?
Technically, it's the density matrix that describes the mixed state. The state cannot be represented by a wavefunction (unless you include an additional random phase variable, which, if you haven't learned about in class, you probably needn't worry about), but you can still find the photon number distributions. Have you done that?Eh I think it's confusing with the notations used in the question.. But it isint the density matrix... Just a mixed state