Quantum toroidal moments of nanohelix eigenstates

Johnny Williamson; Mario Encinosa

doi:10.1117/12.2188877

1 September 2015 Quantum toroidal moments of nanohelix eigenstates

Johnny Williamson, Mario Encinosa

Proceedings Volume 9544, Metamaterials, Metadevices, and Metasystems 2015; 95442W (2015) https://doi.org/10.1117/12.2188877
Event: SPIE Nanoscience + Engineering, 2015, San Diego, California, United States

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.

Citation Download Citation

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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