my point being that, if the Schrodinger equation is a correct description of physics, and what is needed is just the right hilbert space and the right hamiltoni

my point being that, if the Schrodinger equation is a correct description of physics, and what is needed is just the right hilbert space and the right hamiltonian, then all of physics would be linear in a certain sense, and so the fact that a particular thing is linear, wouldn't prevent that thing from doing what humans do (unless humans are an exception to ordinary physics, which, maybe, but if so I don't expect that we'll see proof of it any time soon).