First up is the Feynman slash, i first tried hacking something up myself:
\renewcommand{\slash}{\hskip -3pt\not\hskip -2pt}
this however has a few issues because it would need to be skipped differently for different letters, the line width of the slash was never quite right and it's too low.
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After some more googling i found the slashed package. Which looks better:
Next up was a contraction symbolized by an underbracket. This functionality is provided by the mathtools package except that it looked to big for the fonts i use. Fortunately there are some optional arguments that fix that issue.
\newcommand{\contraction}[1]{\underbracket[0.2ex][0.5ex]{#1}}
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And now comes my favourite: My Quantum field theory professor decided to make up a nonstandard way of being undecided about whether we are in a continous or discrete space and just superimposed a sum and an integral instead of using common sense and Dirac measures.
Marvel at this beauty:
\newcommand{\Sunt}[1]{\hskip5pt\int\hskip -15pt \sum_{#1}\kern 2pt}
\newcommand{\sunt}{\hskip3pt\int\hskip -10pt \sum}
Of course capital is for Displaystyle.
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