Magnetic fields on resistance spaces
Michael Hinz
Universität Bielefeld, GermanyLuke G. Rogers
University of Connecticut, Storrs, USA
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Abstract
On a metric measure space that supports a regular, strongly local resistance form we consider a magnetic energy form that corresponds to the magnetic Laplacian for a particle confined to . We provide sufficient conditions for closability and self-adjointness in terms of geometric conditions on the reference measure without assuming energy dominance.
Cite this article
Michael Hinz, Luke G. Rogers, Magnetic fields on resistance spaces. J. Fractal Geom. 3 (2016), no. 1, pp. 75–93
DOI 10.4171/JFG/30