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Consider a molecule consisting of N quantized electrons at positions xi, and M nuclei of charges Z = (Z1,..., ZM) fixed at positions y = (yl,..., yM). The Schrödinger Hamiltonian of such a system is given by ]]</EquationSource><EquationSource Format="TEX"><![CDATA[$${H_{Z,H}}...
An edge state is a time-harmonic solution of a conservative wave system, e.g. Schrödinger, Maxwell, which is propagating (plane-wave-like) parallel to, and localized transverse to, a line-defect or “edge”. Topologically protected edge states are edge states which are stable against spatially localized (even strong) deformations of the edge. First studied in the context of the quantum Hall effect,...
We present an analytical theory of 2D topologically protected guided photonic modes for continuous periodic dielectric structures, modulated by a domain wall. We then numerically corroborate the applicability of this theory for 3D structures.
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