Weak Edgeworth expansion for the mean-field Bose gas

被引：1

作者：

Bossmann, Lea ^{[1
,2
]}

Petrat, Soeren ^{[3
]}

机构：

[1] IST Austria, Campus 1, A-3400 Klosterneuburg, Austria

[2] Ludwig Maximilians Univ Munchen, Math Inst, Theresienstr 39, D-80333 Munich, Germany

[3] Constructor Univ, Sch Sci, Campus Ring 1, D-28759 Bremen, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2023年 / 113卷 / 04期

关键词：

Bose-Einstein condensation; Central limit theorem; Edgeworth expansion; Quantum many-body system; CENTRAL-LIMIT-THEOREM;

D O I：

10.1007/s11005-023-01698-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the ground state and the low-energy excited states of a system of N identical bosons with interactions in the mean-field scaling regime. For the ground operators, which yields corrections to a central limit theorem to any order in 1/vN. For state, we derive a weak Edgeworth expansion for the fluctuations of bounded one-body suitable excited states, we show that the limiting distribution is a polynomial times a normal distribution, and that higher-order corrections are given by an Edgeworth-type expansion.

引用

页数：38

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