Does the Minus Sign Affect Sz Measurement Outcomes in EPR Argument?

[benedwards2020]

Determine the possible outcomes of the measurement Sz for the two electrons

$$\psi = \frac{1}{2} (\psi_{+}(A)\psi_{-}(B)-\psi_{+}(A)\psi_{-}(B))$$

The Attempt at a Solution

Now I know how to work out the outcomes for each of the pairs, but what I'm not sure about is how to handle the minus sign in between the two pairs.

Do I use the minus sign as I would in any other calculation to give me possible outcomes of

Sz(A) = +h/2, Sz(B) = -h/2
Sz(A) = -h/2, Sz(B) = +h/2

Or do I ignore the minus sign to give me

Sz(A) = +h/2, Sz(B) = -h/2
Sz(A) = +h/2, Sz(B) = -h/2

I'm having difficulty finding examples on the internet for this sort of problem so any helpful links would also be appreciated

many thanks

 

[Jhero]

I would like to clarify that the minus sign in the wave function does not affect the possible outcomes of the measurement of Sz for the two electrons. The minus sign is simply a mathematical representation of the wave function and does not have any physical significance in this context.

Therefore, the possible outcomes of the measurement of Sz for the two electrons would be:

Sz(A) = +h/2, Sz(B) = -h/2
Sz(A) = -h/2, Sz(B) = +h/2.

I hope this clarifies your doubt. As for helpful links, I would suggest looking into the basics of quantum mechanics and spin states of particles. You can also refer to textbooks or online resources for more detailed explanations and examples. Thank you.