%0 Journal Article
%T Quantum Domain Wall
%A Victor Atanasov
%A Rossen Dandoloff
%J Physics
%D 2014
%I arXiv
%X We demonstrate an equivalence between the elastic membrane shape equation and the quantum mechanical two dimensional Schr\"odinger equation for a (quasi-) particle on the surface of the membrane. Surface curvature is related to an unexpected static formation: the concentration of the expectation value to find a (quasi-) particle where the elastic energy is concentrated, namely where surface curvature has a maximum which represents a particular form of a conformon.
%U http://arxiv.org/abs/1402.2078v1