A Remark on the Mourre Theory for Two Body Schrödinger operators

2013/05/21 by Shu Nakamura, Nakamura, Shu
Mathematics · Physics and Astronomy · #35P25 #47A40 #81U05 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:35P25 #msc:47A40 #msc:81U05

paper · pdf · doi:10.48550/arxiv.1305.4716

arxiv created 2013/05/31 · arxiv updated 2013/06/03

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.

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