2 problems

Radial Schrödinger-operator conjecture. The operator ${\cal H}^{(n)}_{\rm rad}$ is equivalent to a $\frac{n(n-1)}{2}$-dimensional radial Schrödinger operator.

Let $\mathscr{F}_{\beta,m}^{\pm}$ be the operators introduced in the paper, acting on $L^2(\mathbb{R}_+)$. The parameters are $\beta,m\in\mathbb{C}$, and $\beta$ is non-real when…