3 problems

Let $M$ be a Riemannian manifold, let $E$ be a Hermitian vector bundle over $M$, and let $V$ be a potential satisfying Assumption A: $V=V_{+}+V_{-}$, with $V_{+}(x)8e0$ and…

Local regularity conjecture. Under these assumptions,

Classical–quantum completeness conjecture. The Hamiltonian flow of $p$ is complete if and only if $P$ is essentially self-adjoint.