Thanks to all who responded to my Oct 10 and 11 question, which has now been well answered, particularly by RUTA and wle #12. I find that my original calculation was correct but did not include all the possibilities. The triplet states have more complex features than I had thought!
I'm closely following the postings to my question, and thanks to all who have replied! I hadn't previously considered whether any of the entangled states would be rotationally invariant, so I applied a rotation to all four and found that the singlet, S= ##(|ud \rangle - |du \rangle )/\sqrt2 ##...
I agree with your final answer but am a bit puzzled over the numbers at the start of the last line. Elaborating on my original question- I imagine that in an entanglement experiment with the singlet state, the measurement of spin #1 is made at some unknown angle ##\phi## wrt to the orientation...
How did you find PF?: internet question about electron triplet states
I'm a retired accelerator physicist entertaining myself by trying to understand physics questions like entanglement better. I calculate the expectation value of the product of two electron spins in the singlet state with...