How do you find the scalar product of two non-orthogonal many particle states?(adsbygoogle = window.adsbygoogle || []).push({});

For example [itex]<\leftarrow,\rightarrow|\uparrow,\downarrow>[/itex]

I wanted to express both as a 4-vector in the up/down basis, but this seems weird, since then a state [itex]|\uparrow\downarrow+\downarrow\uparrow>[/itex] is like [itex]|\uparrow\uparrow+\downarrow\downarrow>[/itex].

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# Scalar product of many-particle states?

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