4 problems

Let a superheavy nucleus have a finite-size, modified Coulomb potential, and let $Z$ denote its nuclear charge. Negative-energy bound states can occur for sufficiently large $Z$. K…

Let $q$ be the strength of the Coulomb potential in the one-particle Dirac Hamiltonian … Here $c$ is the speed of light, $\hbar$ is the reduced Planck constant, $m$ is the particle…

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…

Let $k$ be an integer, and consider the classically superintegrable deformed Coulomb systems described above, with integrals of motion $cl_1$ and $cl_2^{(\sin)}$, $cl_2^{(\cos)}$.…