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
Received 13 April 2001

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.