Toroidal moments of Schrödinger eigenstates

M. Encinosa; J. Williamson

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arXiv · 1106.4248

Toroidal moments of Schrödinger eigenstates

M. Encinosa·J. Williamson

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Abstract

The Hamiltonian for a particle constrained to motion near a toroidal helix with loops of arbitrary eccentricity is developed. The resulting three dimensional Schrödinger equation is reduced to a one dimensional effective equation inclusive of curvature effects. A basis set is employed to find low-lying eigenfunctions of the helix. Toroidal moments corresponding to the individual eigenfunctions are calculated. The dependence of the toroidal moments on the eccentricity of the loops is reported. Unlike the classical case, the moments strongly depend on the details of loop eccentricity.

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M. Encinosa, J. Williamson. 2011-08-25. Toroidal moments of Schrödinger eigenstates. https://arxiv.org/abs/1106.4248

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