Self-Adjoint Extensions of the Hamiltonian Operator with Symmetric Potentials which are Unbounded from Below

Hing-Tong Cho, Choon-Lin Ho

We study the self-adjoint extensions of the Hamiltonian operator with symmetric potentials which go to $-\infty$ faster than $-|x{|}^{2p}$ with $p>1$ as $x\to \pm \infty$. In this exte…