Correlation inequalities for Schr\"odinger operators
Mathematical Physics
2019-11-25 v2 math.MP
Abstract
This paper analyzes Sch\"odinger operators from viewpoint of correlation inequalities. We construct Griffiths inequalities for the ground state expectations by applying operator-theoretic correlation inequalities. As an example of such an application, we analyze the momentum distribution, i.e., the Fourier transform of the ground state density.
Cite
@article{arxiv.1608.00648,
title = {Correlation inequalities for Schr\"odinger operators},
author = {Tadahiro Miyao},
journal= {arXiv preprint arXiv:1608.00648},
year = {2019}
}
Comments
Improved version, to appear in Mathematical Physics, Analysis and Geometry