Griffiths Introduction to Elementary Particles · Problem 5.3

The Feynman Calculus — David J. Griffiths

Physics — QFT · spherical-harmonics-parity

Problem

Show that the spherical harmonics are either even or odd under the parity transformation, depending on whether

l

is even or odd. That is

P: Y_l^m(\theta, \phi) \to (-1)^l Y_l^m(\theta, \phi)