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arXiv · 1507.03079

Operator reflection positivity inequalities and their applications to interacting quantum rotors

Jacek Wojtkiewicz·Wiesław Pusz·Piotr Stachura
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Abstract

In the Reflection Positivity theory and its application to statistical mechanical systems, certain matrix inequalities play a central role. The Dyson-Lieb-Simon and Kennedy-Lieb-Shastry-Schupp inequalities constitute prominent examples. In this paper we extend the KLS-S inequality to the case where matrices are replaced by certain operators. As an application, we prove the occurrence of the long range order in the ground state of two-dimensional quantum rotors.

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Jacek Wojtkiewicz, Wiesław Pusz, Piotr Stachura. 2015-07-11. Operator reflection positivity inequalities and their applications to interacting quantum rotors. https://doi.org/10.1016/s0034-4877(16)30019-2

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