Curvature-induced quantum behaviour on a helical nanotube |
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Authors: | Victor Atanasov Rossen Dandoloff |
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Affiliation: | a Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, F-95302 Cergy-Pontoise, France b Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, 1784 Sofia, Bulgaria |
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Abstract: | We investigate the effect of curvature on the behaviour of a quantum particle bound to move on a surface shaped as a helical tube. We derive and discuss the governing Schrödinger equation and the corresponding quantum effective potential which is periodic and points to the helical configuration as more energetically favorable as compared to the straight tube. The exhibited periodicity also leads to energy band structure of pure geometrical origin. |
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Keywords: | 03.65.-w 03.65.Ge 68.65.-k |
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