Following H-J Stöckmann’s book Quantum Chaos and adding a bit of Dunning-Kruger fueled feelings and impressions it would seem that the main focus of the field is solving classical electromagnetism (the wave equation actually) with boundary conditions representing a cavity with a nontrivial shape, mapping this to the solutions of the Schrödinger equation and calling it a quantum billiard. Nice pictures and experiments and whatnot follow. Hence, papers! Publish or perish amirite?

I suspect this view is uncharitable and due to my own ignorance. What does Manifold think?