Meanings
plural hopfions
- mathematicsA knot in a three-dimensional continuous unit vector field that cannot be unknotted without cutting
Importantly, we find that the hopfion can be stabilized in a simple parabolic trap, without the need for trap rotation or inhomogeneous interactions.
2015, R.N. Bisset, Wenlong Wang, C. Ticknor, R. Carretero-Gonzalez, D.J. Frantzeskakis, L.A. Collins, P.G. Kevrekidis, “Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates”, in arXiv
Origin
Cite this entry
hopfion. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/hopfion
“hopfion.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hopfion. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “hopfion,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/hopfion.
Source: hopfion on Wiktionary, CC BY-SA 4.0.