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Author:

Belloni, Andrea (Belloni, Andrea.) | Ricca, Renzo L. (Ricca, Renzo L..)

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

quantum fluids variational methods topological fluid dynamics

Author Community:

  • [ 1 ] [Belloni, Andrea]Univ Milan, Dept Math, Via Saldini 50, I-20133 Milan, Italy
  • [ 2 ] [Ricca, Renzo L.]Univ Milano Bicocca, Dept Math & Applicat, Via Cozzi 55, I-20125 Milan, Italy
  • [ 3 ] [Ricca, Renzo L.]Beijing Univ Technol, Fac Sci, 100 Pingleyuan, Beijing 100124, Peoples R China

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Source :

JOURNAL OF FLUID MECHANICS

ISSN: 0022-1120

Year: 2023

Volume: 963

3 . 7 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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