Schrödinger operators with non-integer power-law potentials and Lie-Rinehart algebras

Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1

We study Schrödinger operators $H:=-\hat{I}”+V$ with potentials $V$ that have power-law growth (not necessarily polynomial) at 0 and at $\infty$ using methods of Lie theory (Lie-Rineh…