When I was reading, the question just popped into my head after noticing that the Greek letter ψ looks kind of like a wave itself. Stylized, they look even more wavy:
This made me want to ask the question why $\Psi$ was chosen to represent the wave function. I am aware that Erwin Schrödinger is responsible for the Schrödinger equation which calculates the wave function, giving the value for $\Psi$. Also, I read somewhere that I can no longer find, that Schrödinger is the one who chose $\Psi$ to represent the wave function.
I have found a Quora answer that gives quite a reasonable, I am just not sure if it is correct, given that they provide no sources, and I cannot find any supporting documentation to back up it. The answer given there is that the Greek letter $\Psi$ was associated with the Greek god of the sea, Poseidon. The connection is that $\Psi$ looks like the trident that Poseidon was known for. They also mentions how pronouncing $\Psi$ (Psi), sounds like the beginning of his name. I am not sure if they were meaning to suggest that there was an actual connection between the two, but judging from the Greek spelling of Poseidon on Wikipedia there is no $\Psi$ is Poseidon's name. So, the explanation goes, because $\Psi$ is associated with Poseidon, who is king of the waves, and the value this variable was to represent was the wave function, why not make $\Psi$ represent the wave function. This makes perfect sense to me.
So, my questions are, first, was Schrödinger the one who chose $\Psi$ to represent the wave function, and if not, who did? And, second, why was $\Psi$ chosen to represent the wave function (i.e. was the Quora explanation correct)? Lastly, how do you know/ what are you sources (i.e., hopefully a link to a authoritative document, or maybe your professor told you the story that they were told by Schrödinger himself)?The last part is where the Quora answer is lacking.