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).

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Spherical harmonics and P operator

**Physics Forums | Science Articles, Homework Help, Discussion**