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Coulomb problem on single- and double-wall cylinders. | LitMetric

Coulomb problem on single- and double-wall cylinders.

J Phys Condens Matter

Department of Physics, University of Toronto, 60 St George Street, Toronto, ON, M5S 1A7, Canada.

Published: June 2012

AI Article Synopsis

Article Abstract

In this paper we calculate the energies of ground and excited states of two opposite charge carriers confined on a single- or double-wall cylindrical surface. A nontrivial dependence of excited state energies on cylinder radius value (for the case of a single-wall cylinder) is found, and the explanation of this behavior is based on symmetry properties of the corresponding wavefunctions. The crossover from a one-dimensional problem to a two-dimensional one with increase of the radius value is discussed in detail. For the double-wall cylinder, we obtain and analyze the dependence of ground state energy on interwall distance and ratio between particle masses.

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Source
http://dx.doi.org/10.1088/0953-8984/24/25/255301DOI Listing

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