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Proceedings Paper

Quantum toroidal moments of nanohelix eigenstates
Author(s): Johnny Williamson; Mario Encinosa
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Paper Abstract

Developments in the area of metamaterial research have generated interest in toroidal moments and their treatment in the quantum regime. A quantum mechanical method of determining toroidal moments due to current circulating on a toroidal helix is presented. The Hamiltonian of a negatively charged spinless particle constrained to motion in the vicinity of a toroidal helix having loops of arbitrary eccentricity is developed. The resulting three dimensional Schr¨odinger equation is reduced to a one dimensional form inclusive of curvature effects. Low-lying eigenfunctions of the toroidal helix system are determined along with corresponding toroidal moments. A disagreement, not predicted by a classical treatment, arises between toroidal moments of elliptic toroidal helix systems when vertical and horizontal eccentricity are transposed.

Paper Details

Date Published: 1 September 2015
PDF: 11 pages
Proc. SPIE 9544, Metamaterials, Metadevices, and Metasystems 2015, 95442W (1 September 2015); doi: 10.1117/12.2188877
Show Author Affiliations
Johnny Williamson, Florida A&M Univ. (United States)
Mario Encinosa, Florida A&M Univ. (United States)

Published in SPIE Proceedings Vol. 9544:
Metamaterials, Metadevices, and Metasystems 2015
Nader Engheta; Mikhail A. Noginov; Nikolay I. Zheludev, Editor(s)

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