On the zero helicity condition for quantum vortex defects

DOI10.1017/jfm.2023.304zbMath1527.76092OpenAlexW4376862777MaRDI QIDQ6044961

Renzo L. Ricca, Unnamed Author

Publication date: 25 May 2023

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2023.304

zbMATH Keywords

variational methodNoether theoremGross-Pitaevskii equationquantum fluidcirculation conservationcirculation quantizationKleinert multi-valued gauge theory

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Superfluids (classical aspects) (76A25)

Cites Work

• A primer on quantum fluids
• Impulse functions over curves and surfaces and their applications to diffraction
• Structure of a quantized vortex in boson systems
• Isocirculational flows and their Lagrangian and energy principles
• Helicity and the Călugăreanu invariant
• Helicity conservation and twisted Seifert surfaces for superfluid vortices
• Helicity conservation via the Noether theorem
• The Gross–Pitaevskii equation and Bose–Einstein condensates
• Hydrodynamics of a quantum vortex in the presence of twist – CORRIGENDUM
• Hydrodynamics of a quantum vortex in the presence of twist
• Multivalued Fields
• The degree of knottedness of tangled vortex lines
• A note on Hamilton's principle for perfect fluids
• Zero helicity of Seifert framed defects
• Instability of a quantum vortex by twist perturbation

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