I am unable to lookup a piece of terminology I have bumped into. I have been watching AGITTOC: Algebraic geometry in the time of Covid; Pseudolecture 3, where a user claimed that the reason the spectrum of a ring is called as the "prime spectrum" is through the analogy from physics:
(Name hidden for privacy): spectrum of light -> eigenvalues of the hamiltonian operator -> prime ideal of the polynomial ring of the operator
I'm failing at finding references to "prime ideal of the polynomial ring of the operator". Could someone please point me to the mathematics they are referring to?