Hi,(adsbygoogle = window.adsbygoogle || []).push({});

Just a little thing that's been puzzling me:

Consider a state

[tex] \mid \psi \rangle = \frac{1}{\sqrt{2}} \mid A \rangle + \frac{1}{\sqrt{2}} \mid B \rangle[/tex]

This is normalised since [tex] [\frac{1}{\sqrt{2}}]^2 + [\frac{1}{\sqrt{2}}]^2 = 1 [/tex]

Now let A = B:

[tex] \mid \psi \rangle = \frac{1}{\sqrt{2}} \mid A \rangle + \frac{1}{\sqrt{2}} \mid A \rangle = \frac{2}{\sqrt{2}} \mid A \rangle = {\sqrt{2}} \mid A \rangle[/tex]

This isn't normalised anymore! What happened?

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# Normalisation of quantum states

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