Let's define operator P:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

P \phi(\vec{r})=\phi(-\vec{r})

[/tex]

Does anyone know simple and elegant prove that [tex]P|lm\rangle = (-1)^l |lm\rangle[/tex]

([tex]|lm\rangle[/tex] is spherical harmonic).

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# Spherical harmonics and P operator

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