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.
Belloni, A., Ricca, R. (2023). On the zero helicity condition for quantum vortex defects. JOURNAL OF FLUID MECHANICS, 963 [10.1017/jfm.2023.304].
On the zero helicity condition for quantum vortex defects
Ricca, R
2023
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Belloni-2023-J Fluid Mech-VoR.pdf
accesso aperto
Descrizione: Article
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Licenza:
Creative Commons
Dimensione
400 kB
Formato
Adobe PDF
|
400 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
