phy-4600/lecture_notes/1-13/Basis
2016-02-21 01:05:07 -05:00

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Quantum State Basis
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|Ψ> = C_+ |+> + C_- |-> with |C_+|^2 + |C_-|^2 = 1
Example (pic)
Spin in x, y, and z (pic)
Coefficients in general
|+x> = C_+ |+z> + C_- |+z>
C_+ = e^(i δ_+) / √2 , C_- = e^(i δ_-) / √2
<+x| S_z |+x> = <S_z> = expectation value