dorsal/arxiv
View SchemaA numerical study of the spectrum and eigenfunctions on a tubular arc
| Authors | Lonnie Mott, Mario Encinosa, Babak Etemadi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406074 |
| URL | https://arxiv.org/abs/quant-ph/0406074 |
| DOI | 10.1016/j.physe.2004.08.108 |
Abstract
The Hamiltonian for a particle constrained to move on the surface of a curved nanotube is derived using the methods of differential forms. A two-dimensional Gram-Schmidt orthonormalization procedure is employed to calculate basis functions for determining the eigenvalues and eigenstates of a tubular arc (a nanotube in the shape of a hyperbolic cosine) with several hundred scattering centers. The curvature of the tube is shown to induce bound states that are dependent on the curvature parameters and bend location of the tube.
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"abstract": "The Hamiltonian for a particle constrained to move on the surface of a curved\nnanotube is derived using the methods of differential forms. A two-dimensional\nGram-Schmidt orthonormalization procedure is employed to calculate basis\nfunctions for determining the eigenvalues and eigenstates of a tubular arc (a\nnanotube in the shape of a hyperbolic cosine) with several hundred scattering\ncenters. The curvature of the tube is shown to induce bound states that are\ndependent on the curvature parameters and bend location of the tube.",
"arxiv_id": "quant-ph/0406074",
"authors": [
"Lonnie Mott",
"Mario Encinosa",
"Babak Etemadi"
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"doi": "10.1016/j.physe.2004.08.108",
"title": "A numerical study of the spectrum and eigenfunctions on a tubular arc",
"url": "https://arxiv.org/abs/quant-ph/0406074"
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