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Parity

{title2=$(-1)^\ell$}

An <orbital angular momentum> eigenstate with quantum number $\ell$ changes by the factor $(-1)^\ell$ under <spatial reflection>. Equivalently,
$$
Y_\ell^m(-\widehat{\mathbf r})=(-1)^\ell Y_\ell^m(\widehat{\mathbf r}).
$$

Orbital parity

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 45 / 3 / Solution

Orbital parity ( $(- 1)^{ℓ}$ )

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Orbital parity ((−1)ℓ)

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Orbital parity ( $(- 1)^{ℓ}$ )

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