Just state the result here. $latex \displaystyle \exp(\vec{k}\cdot\vec{r} ) = \exp( \cos \theta ) = \sum_{l=0}^\infty (2l+1) i^l j_l(kr) P_l(\vec{k}\cdot\vec{r} ) $ where $latex j_l $ is spherical Bessel function, $latex P_l $ is the Legendre poly… Read on blog or Reader Nuclear Physics 101 Read on blog or Reader Plane wave expansion By GoLuckyRyan on July 14, 2024 Just state the result here. where is spherical Bessel function, is the Legendre polynomial. Using the relation using the Riccati-Bessel Functions using Riccati-Hankel functions Long range behaviour: or Continue reading Comment Like You can also reply to this email to leave a comment.

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