International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 6, Pages 371-373
doi:10.1155/S0161171202007330
Schrödinger operators with a singular potential
Toka Diagana
Department of Mathematics, Howard University, 2441 Sixth Street, NW, Washington, DC 20059, USA
Abstract
This note is devoted to the study of some Schrödinger operators with a singular real potential Q. The potential Q is chosen so that the algebraic sum L=−Δ+Q is not defined. Next, we define the sum form operator which will be well defined and we show that this operator verifies the well-known Kato's square root problem.