Hey, so today for our quantum physics class we were supposed to go through these identities,(adsbygoogle = window.adsbygoogle || []).push({});

[itex]|+_x > = \frac{1}{2^{0.5}} (|+> + |->)[/itex]

[itex]|-_x > = \frac{1}{2^{0.5}} (|+> - |->)[/itex]

[itex]|+_y > = \frac{1}{2^{0.5}} (|+> + i|->)[/itex]

[itex]|-_y > = \frac{1}{2^{0.5}} (|+> - i|->)[/itex]

where |+ (x)> would represent spin up in the x direction for example, and |+> simply denotes spin up in (I believe) the z direction.

now I couldn't make sense of any of it, had no idea where they came from and what the proof is, I came home and googled it and noticed a strong resemblance to the pauli matrices (which I have discovered as of half an hour ago), so I'm hoping someone could enlighten me as to what this means and where it comes from.

Thanks in advance

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# Pauli matrices?

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