On the zero helicity condition for quantum vortex defects

被引：2

作者：

Belloni, Andrea ^{[1
]}

Ricca, Renzo L. ^{[2
,3
]}

机构：

[1] Univ Milan, Dept Math, Via Saldini 50, I-20133 Milan, Italy

[2] Univ Milano Bicocca, Dept Math & Applicat, Via Cozzi 55, I-20125 Milan, Italy

[3] Beijing Univ Technol, Fac Sci, 100 Pingleyuan, Beijing 100124, Peoples R China

来源：

JOURNAL OF FLUID MECHANICS | 2023年 / 963卷

基金：

中国国家自然科学基金;

关键词：

topological fluid dynamics; variational methods; quantum fluids; TURBULENCE; VORTICES;

D O I：

10.1017/jfm.2023.304

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this note we provide an analytical proof of the zero helicity condition for systems governed by the Gross-Pitaevskii equation (GPE). The proof is based on the hydrodynamic interpretation of the GPE, and the direct use of Noether's theorem by applying Kleinert's multi-valued gauge theory. As a by-product we also demonstrate the conservation and quantization of the circulation for the GPE.

引用

页数：9

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