Schrödinger operators with a singular potential

Toka Diagana

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-3

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:303956

DOI: 10.1155/S0161171202007330

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