Persistent Current of Free Electrons in the Plane
Condensed Matter
2016-08-14 v1 High Energy Physics - Theory
Abstract
Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement operator is regularized by means of zeta function. Instead of piecewise constant persistent current of free electrons on the plane one has a current which varies linearly with the flux and is antisymmetric with regard to all time preserving values of including . Different self-adjoint extensions of the problem and role of the resonance are discussed.
Keywords
Cite
@article{arxiv.cond-mat/9404078,
title = {Persistent Current of Free Electrons in the Plane},
author = {Alain Comtet and Alexander Moroz and Stéphane Ouvry},
journal= {arXiv preprint arXiv:cond-mat/9404078},
year = {2016}
}
Comments
(Comment on "Relation between Persistent Currents and the Scattering Matrix", Phys. Rev. Lett. {\bf 66}, 76 (1991)) plain latex, 4pp., IPNO/TH 94-21