3 problems

Let $T$ be the rescaled Schrödinger operator, let $\boldsymbol{\mathfrak{g}}$ be the Lie algebra acting on the system, and let … be the homomorphism into the associative algebra of…

Spectral realization conjecture. For almost every $\lambda\in\operatorname{spec}(H)$,

Canonical identification conjecture. For almost every energy $E$, the spaces $J(\mathcal{F}|_E)$, $Sol(E)_{SO(2)\text{-f.}}$, and $(\mathcal{H}_E)_{SO(2)\text{-f.}}$ can be identif…