I have a pretty general question about probabilities/expectation values.(adsbygoogle = window.adsbygoogle || []).push({});

Let's say you have a two-state quantum system, with orthogonal states [tex]|1>,|2>[/tex].

It's prepared in state [tex]|\psi>=c_{1}|1>+c_{2}|2>[/tex], for complex numbers [tex]c_{1},c_{2}[/tex].

How do you find the probability of measuring the system to be in state [tex]|2>[/tex]?

I know that orthogonality means the inner product is zero, i.e., [tex]<2|1>=0[/tex], and that there's an expectation value involved here, but from there on I'm a bit lost.

Thanks!

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# Two-state system

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