KaTeXマクロでphysics
レポートを pandoc 経由で md で書いている. レポート側の LaTeX で physics パッケージを使っているが, エディタ側 (vscode) の md プレビュー で KaTeX が使われているため一部のコマンドの結果が見れない. MathJax の v3 以降なら physics 拡張 があるが, KaTeX にはそういった拡張は無い. 一応, MathJax v21 にも third party な physics 拡張 があり, この拡張は単純なマクロの集合であるから, 加工することで KaTeX マクロとしても使うことができる.
注意だが,
引数の数で表示できないコマンドがある.
例えば, \braket は引数2個のときは以下のように表示される:
\braket{\psi}{\psi'}
しかし, 引数1個のとき, KaTeX では表示されない. LaTeX の physics パッケージや MathJax v3 の physics パッケージでは以下のように表示される:
\braket{\psi}
KaTeX のマクロで多重定義ができれば解決できるが, とりあえずはそういった記法を避ければ平和だろう. 困ったらその時考える.
以下は mathjax/MathJax-third-party-extensions
の physics 拡張の加工例.
Markdown All in One であれば setting.json で markdown.extension.katex.macros に以下を設定すれば良い.
{
"\\quantity": "{\\left\\{ #1 \\right\\}}",
"\\qty": "{\\left\\{ #1 \\right\\}}",
"\\pqty": "{\\left( #1 \\right)}",
"\\bqty": "{\\left[ #1 \\right]}",
"\\vqty": "{\\left\\vert #1 \\right\\vert}",
"\\Bqty": "{\\left\\{ #1 \\right\\}}",
"\\absolutevalue": "{\\left\\vert #1 \\right\\vert}",
"\\abs": "{\\left\\vert #1 \\right\\vert}",
"\\norm": "{\\left\\Vert #1 \\right\\Vert}",
"\\evaluated": "{ #1 \\vert}",
"\\eval": "{ #1 \\vert}",
"\\order": "{\\mathcal{O} \\left( #1 \\right)}",
"\\commutator": "{\\left[ #1 , #2 \\right]}",
"\\comm": "{\\left[ #1 , #2 \\right]}",
"\\anticommutator": "{\\left\\{ #1 , #2 \\right\\}}",
"\\acomm": "{\\left\\{ #1 , #2 \\right\\}}",
"\\poissonbracket": "{\\left\\{ #1 , #2 \\right\\}}",
"\\pb": "{\\left\\{ #1 , #2 \\right\\}}",
"\\vectorbold": "{\\boldsymbol{ #1 }}",
"\\vb": "{\\boldsymbol{ #1 }}",
"\\vectorarrow": "{\\vec{\\boldsymbol{ #1 }}}",
"\\va": "{\\vec{\\boldsymbol{ #1 }}}",
"\\vectorunit": "{{\\boldsymbol{\\hat{ #1 }}}}",
"\\vu": "{{\\boldsymbol{\\hat{ #1 }}}}",
"\\dotproduct": "{\\boldsymbol\\cdot}",
"\\vdot": "{\\boldsymbol\\cdot}",
"\\crossproduct": "{\\boldsymbol\\times}",
"\\cross": "{\\boldsymbol\\times}",
"\\cp": "{\\boldsymbol\\times}",
"\\gradient": "{\\boldsymbol\\nabla}",
"\\grad": "{\\boldsymbol\\nabla}",
"\\divergence": "{\\grad\\vdot}",
"\\div": "{\\grad\\vdot}",
"\\curl": "{\\grad\\cross}",
"\\laplacian": "{\\nabla^2 }",
"\\tr": "{\\operatorname{tr}}",
"\\Tr": "{\\operatorname{Tr}}",
"\\rank": "{\\operatorname{rank}}",
"\\erf": "{\\operatorname{erf}}",
"\\Res": "{\\operatorname{Res}}",
"\\principalvalue": "{\\mathcal{P}}",
"\\pv": "{\\mathcal{P}}",
"\\PV": "{\\operatorname{P.V.}}",
"\\Re": "{\\operatorname{Re} \\left\\{ #1 \\right\\}}",
"\\Im": "{\\operatorname{Im} \\left\\{ #1 \\right\\}}",
"\\qqtext": "{\\quad\\text{ #1 }\\quad}",
"\\qq": "{\\quad\\text{ #1 }\\quad}",
"\\qcomma": "{\\text{,}\\quad}",
"\\qc": "{\\text{,}\\quad}",
"\\qcc": "{\\quad\\text{c.c.}\\quad}",
"\\qif": "{\\quad\\text{if}\\quad}",
"\\qthen": "{\\quad\\text{then}\\quad}",
"\\qelse": "{\\quad\\text{else}\\quad}",
"\\qotherwise": "{\\quad\\text{otherwise}\\quad}",
"\\qunless": "{\\quad\\text{unless}\\quad}",
"\\qgiven": "{\\quad\\text{given}\\quad}",
"\\qusing": "{\\quad\\text{using}\\quad}",
"\\qassume": "{\\quad\\text{assume}\\quad}",
"\\qsince": "{\\quad\\text{since}\\quad}",
"\\qlet": "{\\quad\\text{let}\\quad}",
"\\qfor": "{\\quad\\text{for}\\quad}",
"\\qall": "{\\quad\\text{all}\\quad}",
"\\qeven": "{\\quad\\text{even}\\quad}",
"\\qodd": "{\\quad\\text{odd}\\quad}",
"\\qinteger": "{\\quad\\text{integer}\\quad}",
"\\qand": "{\\quad\\text{and}\\quad}",
"\\qor": "{\\quad\\text{or}\\quad}",
"\\qas": "{\\quad\\text{as}\\quad}",
"\\qin": "{\\quad\\text{in}\\quad}",
"\\differential": "{\\text{d}}",
"\\d": "{\\text{d}}",
"\\derivative": "{\\frac{\\text{d}{ #1 }}{\\text{d}{ #2 }}}",
"\\dv": "{\\frac{\\text{d}{ #1 }}{\\text{d}{ #2 }}}",
"\\partialderivative": "{\\frac{\\partial{ #1 }}{\\partial{ #2 }}}",
"\\pdv": "{\\frac{\\partial{ #1 }}{\\partial{ #2 }}}",
"\\variation": "{\\delta}",
"\\var": "{\\delta}",
"\\functionalderivative": "{\\frac{\\delta{ #1 }}{\\delta{ #2 }}}",
"\\fdv": "{\\frac{\\delta{ #1 }}{\\delta{ #2 }}}",
"\\ket": "{\\left\\vert { #1 } \\right\\rangle}",
"\\bra": "{\\left\\langle { #1 } \\right\\vert}",
"\\innerproduct": "{\\left\\langle { #1 } \\mid { #2 } \\right\\rangle}",
"\\braket": "{\\left\\langle { #1 } \\mid { #2 } \\right\\rangle}",
"\\outerproduct": "{\\left\\vert { #1 } \\right\\rangle\\left\\langle { #2 } \\right\\vert}",
"\\dyad": "{\\left\\vert { #1 } \\right\\rangle\\left\\langle { #2 } \\right\\vert}",
"\\ketbra": "{\\left\\vert { #1 } \\right\\rangle\\left\\langle { #2 } \\right\\vert}",
"\\op": "{\\left\\vert { #1 } \\right\\rangle\\left\\langle { #2 } \\right\\vert}",
"\\expectationvalue": "{\\left\\langle { #1 } \\right\\rangle}",
"\\expval": "{\\left\\langle { #1 } \\right\\rangle}",
"\\ev": "{\\left\\langle { #1 } \\right\\rangle}",
"\\matrixelement": "{\\left\\langle{ #1 }\\right\\vert{ #2 }\\left\\vert{ #3 }\\right\\rangle}",
"\\matrixel": "{\\left\\langle{ #1 }\\right\\vert{ #2 }\\left\\vert{ #3 }\\right\\rangle}",
"\\mel": "{\\left\\langle{ #1 }\\right\\vert{ #2 }\\left\\vert{ #3 }\\right\\rangle}",
}