Conditions of discreteness of the spectrum for Schrödinger operator and some optimization problems for capacity and measures

Leonid Zelenko

For the the Schrödinger operator $H=-\Delta +V(x)\cdot$, acting in the space L_2(\R^d)\,(d\ge 3), with V(x)\ge 0 and V(\cdot)\in L_{1,loc}(\R^d), we obtain some constructive conditions…