Topologically stable states of the geometric quantum potential

Victor Atanasov; Rossen Dandoloff

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arXiv · 1806.07726

Topologically stable states of the geometric quantum potential

Victor Atanasov·Rossen Dandoloff

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Abstract

We map the geometric quantum potential on the nonlinear sigma model and use homotopy to estimate the lower bound of the geometric quantum potential. We investigate a catenoid (wormhole section), a two dimensional bilayer geometry smoothly connected by a neck and a torus to show that in all these cases the geometric quantum potential creates topologically stable quantum states.

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Victor Atanasov, Rossen Dandoloff. 2018-06-17. Topologically stable states of the geometric quantum potential. https://arxiv.org/abs/1806.07726

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