I am following the math of scattering theory in Sakurai, Revised Edition pp.380-381(adsbygoogle = window.adsbygoogle || []).push({});

For a free particle, one can find that the solution is a plane wave that can be written (in position space) as,

[tex]<x|\phi>=\frac{e^{ip \cdot x}}{(2 \pi \hbar)^{3/2}}[/tex]

However, how does one obtain ##<x|p>?## In the book it has..

[tex]<x|p>=\frac{e^{ip \cdot x}}{(2 \pi \hbar)^{3/2}}[/tex]

Which is identical to ##<x|\phi>##. Why are these two expressions the same? I also don't know what ##<x|p>## means physically. Momentum in the position basis?

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# The free particle wave function <x|p>?

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