Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti

被引：45

作者：

Chen, Thomas ^{[1
]}

Hainzl, Christian ^{[2
]}

Pavlovic, Natasa ^{[1
]}

Seiringer, Robert ^{[3
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[2] Univ Tubingen, Fachbereich Math, D-72076 Tubingen, Germany

[3] IST Austria, A-3400 Klosterneuburg, Austria

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2015年 / 68卷 / 10期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

NONLINEAR SCHRODINGER-EQUATION; BOSE-EINSTEIN CONDENSATION; MEAN-FIELD-LIMIT; GLOBAL WELL-POSEDNESS; RIGOROUS DERIVATION; CLASSICAL-LIMIT; DYNAMICS; BOSONS;

D O I：

10.1002/cpa.21552

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy in 3. One of the main tools in our analysis is the quantum de Finetti theorem. Our uniqueness result is equivalent to the one established in the celebrated works of Erds, Schlein, and Yau. (c) 2015 Wiley Periodicals, Inc.

引用

页码：1845 / 1884

页数：40

共 48 条

[1] Rigorous derivation of the cubic NLS in dimension one [J].