Curvature-induced quantum behaviour on a helical nanotube
arXiv:0803.3390 · doi:10.1016/j.physleta.2008.08.032
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.
References in corpus (7)
- Anomalous coupling between topological defects and curvature
- Quantum Mechanics on Manifolds Embedded in Euclidean Space
- Bound States in Curved Quantum Layers
- Quantum Hall-like effect on strips due to geometry
- Quantum effective potential, electron transport and conformons in biopolymers
- Quantum Particles Constrained on Cylindrical Surfaces with Non-constant Diameter
- Curvature induced quantum potential on deformed surfaces
Cited by in corpus (5)
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- Curvature-induced bound states and coherent electron transport on the surface of a truncated cone
- Quantum states and localisation of developable Moebius nanostructures
- Electronic Properties and Persistent Spin Currents of Nanospring under Static Magnetic Field