I know that Lagrange himself used
and
for kinetic and potential energy. I dug through his flagship book
Mécanique Analytique (published early 1800s) and the first mention of potential energy seems to be:
Цитата:
...et cette valeur de
étant nommée
, on aura immédiatement
Source, go to page 313Basically, he just pulls the letter from nowhere and doesn't explain why. He's already used
for the action,
for kinetic energy ("forces vives"), and
for the Lagrangian, so maybe he is just picking random letters from that part of the alphabet.