2 problems

Let $H$ be a quantum Hamiltonian whose classical counterpart is integrable, and consider the point spectrum of $H$ (or its normalized energy differences). Berry's conjecture. The p…

Let $E_+$ be the set of positive exponents of the underlying Lie algebra, let $\varphi(z)$ be the twist function, and let $h^\vee$ be the dual Coxeter number. The quadratic Hamilto…