Correlation Inequalities for Schrodinger Operators

被引：3
|
作者：
Miyao, Tadahiro [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2020年 / 23卷 / 01期
关键词：
Schrodinger operator; Correlation; Ground state expectation; Griffiths inequalities; Operator inequalities; Self-dual cone; SPIN-REFLECTION-POSITIVITY; PHASE-TRANSITIONS; GRIFFITHS INEQUALITIES; ISING-FERROMAGNETS; GENERAL-THEORY; GROUND-STATE; MONOTONICITY; SYSTEMS; CONES;
D O I：
10.1007/s11040-019-9324-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of the present paper is to analyze correlation structures of the ground states of the Schrodinger operator. We construct Griffiths inequalities for the ground state expectations by applying operator-theoretic correlation inequalities. As an example of such an application, we study the ground state properties of Schrodinger operators.
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页数：33
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