A Remark on the Mourre Theory for Two Body Schr\"odinger operators
Mathematical Physics
2013-06-03 v2 math.MP
Abstract
On this short note, we apply the Mourre theory of the limiting absorption with {\it 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.
Keywords
Cite
@article{arxiv.1305.4716,
title = {A Remark on the Mourre Theory for Two Body Schr\"odinger operators},
author = {Shu Nakamura},
journal= {arXiv preprint arXiv:1305.4716},
year = {2013}
}