- #1
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I understand what is meant by the orthogonalilty of eigenfunctions...
...but what is measnt by the completeness of eigenfunctions?
...but what is measnt by the completeness of eigenfunctions?
[tex]\sum_n \varphi_n(x)\varphi^*_n(y)=\delta(x-y)[/tex]
or 1 for the space he's talking about
I can't figure out how that could make sense.
(Did you overlook that there's both an x and a y on the l.h.s.?)
It did give me pause, though, because I'm so unused to seeing distributions written "plainly" mixed with calculations done in Dirac notation.
i.e. I would have expected a calculation in Dirac notation to result in something that looked like [itex]|x\rangle\langle y|[/itex], which offers an unmatched ket and bra against which one can inner product away the distributional variables.