On the essential self-adjointness of the Schrödinger operator on complete Riemannian manifolds (Q1337877)

The author studies sufficient conditions for self-adjointness in the space \(L^ 2(M)\) of the Schrödinger operator \(H = \Delta + q\), where \(M\) is a complete non-compact Riemannian manifold, \(\Delta\) is the Laplace-Beltrami operator on \(M\) and the potential \(q \in L_{\text{loc}}^ \infty(M)\) is a real valued measurable function. A certain new sufficient condition is obtained, its relations with some known results is considered.