Imagine that we have a box that emits electrons in a definite but unknown spin state |y). If we send electrons from this box through an SGz device, we find that 20% are determined to have S₂ = +¹ħ and 80% to have S₂ = − ½ħ. If we send electrons from this box through an SGx device, we find that 90% are determined to have Sx +ħ and 10% to have Sx=-1¹ħ. Determine the state vector for electrons emerging from the box. You may assume that the vector components are real. =
Imagine that we have a box that emits electrons in a definite but unknown spin state |y). If we send electrons from this box through an SGz device, we find that 20% are determined to have S₂ = +¹ħ and 80% to have S₂ = − ½ħ. If we send electrons from this box through an SGx device, we find that 90% are determined to have Sx +ħ and 10% to have Sx=-1¹ħ. Determine the state vector for electrons emerging from the box. You may assume that the vector components are real. =
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Transcribed Image Text:Imagine that we have a box that emits electrons in a definite but unknown spin state \(|\psi\rangle\). If we send electrons from this box through an SGz device, we find that 20% are determined to have \(S_z = +\frac{1}{2} \hbar\) and 80% to have \(S_z = -\frac{1}{2} \hbar\). If we send electrons from this box through an SGx device, we find that 90% are determined to have \(S_x = +\frac{1}{2} \hbar\) and 10% to have \(S_x = -\frac{1}{2} \hbar\). Determine the state vector for electrons emerging from the box. You may assume that the vector components are real.
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