Gauge freedom in magnetostatics and the effect on helicity in toroidal volumes

Magnetostatics defines a class of boundary value problems in which the topology of the domain plays a subtle role. For example, representability of a divergence-free field as the curl of a vector potential comes about because of homological considerations. With this in mind, we study gauge freedom i...

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Veröffentlicht in:	Journal of mathematical physics 2021-09, Vol.62 (9)
Hauptverfasser:	Pfefferlé, David, Noakes, Lyle, Perrella, David
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Divergence Gauges Helicity Homology Magnetostatics Physics Smooth boundaries Topology
Online-Zugang:	Volltext
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