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I found this discussion http://physics.stackexchange.com/qu...a-delta-function-position-space-wave-function about dirac notation and delta function .

The one that answers to the problem says that ##<a|a>=1## and ##<a|-a>=0## .

As far as i know:

1) ##<a|-a>=δ(a-(-a))## which in this case is zero because delta function is zero everywhere except ##x=-a## where it goes to infinity. So i understand why this is zero.

2) ##<a|a>=δ(a-a) → ∞ ## and not 1 . Am I wrong and this ##<a|a>## is obviously 1. Can you explain me please?

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# Delta function and dirac notation

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