Hi. I have come across the following step in a derivation of the harmonic oscillator groundstate wavefunction using ladder operators(adsbygoogle = window.adsbygoogle || []).push({});

∫ <x | p | p><p | o > dp = ∫ p<x | p><p | o > dp = -iħ d/dx ∫ <x | p><p | 0>dp

I am confused about how the -iħ d/dx arises. I thought the p produced when the p operator acts on |p> is an eigenvalue not an operator ? And it also seems as though the equation is in the momentum representation not the position one and -iħ d/dx is the momentum operator in the position representation ?

Thanks

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# I Momentum operator on positon/momentum representation

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