In this paper we review recent results on the groundstate energy spectra of magnetic knots and links and compare these results with new results on bending energy of tight knots and links obtained by using data on curvature. Re-markable similarities between the two systems are found. Comparative analysis between magnetic and bending energy at groundstate energy level shows that information based on bending energy provides a very good proxy for magnetic end-states.
(2018). Groundstate energy spectra of knots and links: magnetic versus bending energy . Retrieved from http://hdl.handle.net/10446/117475
Groundstate energy spectra of knots and links: magnetic versus bending energy
Maggioni, Francesca
2018-01-01
Abstract
In this paper we review recent results on the groundstate energy spectra of magnetic knots and links and compare these results with new results on bending energy of tight knots and links obtained by using data on curvature. Re-markable similarities between the two systems are found. Comparative analysis between magnetic and bending energy at groundstate energy level shows that information based on bending energy provides a very good proxy for magnetic end-states.File allegato/i alla scheda:
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[9783110571493 - New Directions in Geometric and Applied Knot Theory] Groundstate energy spectra of knots and links magnetic versus bending energy.pdf
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