On this short note, we apply the Mourre theory of the limiting absorption with difference type conditions on the potential, instead of conditions on the derivatives. In order that we modify the definition of the conjugate operator, and we apply the standard abstract Mourre theory. We also discuss examples to which the method applies.
Cite this article
Shu Nakamura, A Remark on the Mourre theory for two body Schrödinger operators. J. Spectr. Theory 4 (2014), no. 3, pp. 613–619DOI 10.4171/JST/80