Magnetic fields on resistance spaces
Mathematical Physics
2016-09-01 v3 Analysis of PDEs
Functional Analysis
math.MP
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
@article{arxiv.1501.01100,
title = {Magnetic fields on resistance spaces},
author = {Michael Hinz and Luke Rogers},
journal= {arXiv preprint arXiv:1501.01100},
year = {2016}
}