Spherical Harmonics LaTeX Macros

Contents


J-Book Macros

The key package is mathtools.pdf

\usepackage{amsmath}
\usepackage{mathtools}
\usepackage{etoolbox}

\DeclarePairedDelimiterX\norm[1]\lVert\rVert{\ifblank{#1}{\,\cdot\,}{#1}}
\DeclarePairedDelimiterX\abs[1]{\lvert}{\rvert}{\ifblank{#1}{\,\cdot\,}{#1}}
\DeclarePairedDelimiterX\innerp[2]{\langle}{\rangle}{\ifblank{#1#2}{\,\cdot\,,\cdot\,}{#1,#2}}

\newcommand{\sharm}[3][]{\ifblank{#1}{Y^{#2}_{#3}}{\prescript{}{#1}Y^{#2}_{#3}}}

\[
	\sharm[s]{m}{\ell} \quad \sharm{m}{\ell}
\]

You-tube Video

plot on sphere


Code Index:

Sphere Index:

Misc Index: