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1 September 2015 Quantum toroidal moments of nanohelix eigenstates
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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.
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Johnny Williamson and Mario Encinosa "Quantum toroidal moments of nanohelix eigenstates", Proc. SPIE 9544, Metamaterials, Metadevices, and Metasystems 2015, 95442W (1 September 2015); https://doi.org/10.1117/12.2188877
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