Symmetries of certain double integrals related to Hall effect devices
Mathematical Physics
2020-09-15 v1 math.MP
Abstract
One encounters iterated elliptic integrals in the study of Hall effect devices, as a result of conformal mappings of Schwarz--Christoffel type. Some of these double elliptic integrals possess amazing symmetries with regard to the physical parameters of the underlying Hall effect devices. We give a unified mathematical treatment of such symmetric double integrals, in the context of Hall effect devices with three and four contacts.
Keywords
Cite
@article{arxiv.1805.00629,
title = {Symmetries of certain double integrals related to Hall effect devices},
author = {Udo Ausserlechner. M. L. Glasser and Yajun Zhou},
journal= {arXiv preprint arXiv:1805.00629},
year = {2020}
}
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8 pages