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Findings on Quantum Dots Discussed by Investigators at State University (Solving a two-electron quantum dot model in terms of polynomial solutions of...

July 8, 2014



Findings on Quantum Dots Discussed by Investigators at State University (Solving a two-electron quantum dot model in terms of polynomial solutions of a Biconfluent Heun equation)

By a News Reporter-Staff News Editor at Journal of Mathematics -- New research on Quantum Dots is the subject of a report. According to news reporting out of Rio de Janeiro, Brazil, by VerticalNews editors, research stated, "The effects on the non-relativistic dynamics of a system compound by two electrons interacting by a Coulomb potential and with an external harmonic oscillator potential, confined to move in a two dimensional Euclidean space, are investigated."

Our news journalists obtained a quote from the research from State University, "In particular, it is shown that it is possible to determine exactly and in a closed form a finite portion of the energy spectrum and the associated eigenfunctions for the Schrodinger equation describing the relative motion of the electrons, by putting it into the form of a biconfluent Heun equation."

According to the news editors, the research concluded: "In the same framework, another set of solutions of this type can be straightforwardly obtained for the case when the two electrons are submitted also to an external constant magnetic field."

For more information on this research see: Solving a two-electron quantum dot model in terms of polynomial solutions of a Biconfluent Heun equation. Annals of Physics, 2014;347():130-140. Annals of Physics can be contacted at: Academic Press Inc Elsevier Science, 525 B St, Ste 1900, San Diego, CA 92101-4495, USA. (Elsevier - www.elsevier.com; Annals of Physics - www.elsevier.com/wps/product/cws_home/622784)

Our news journalists report that additional information may be obtained by contacting F. Caruso, Estado Rio de Janeiro State University, Inst Fis Armando Dias Tavares, BR-20550900 Rio De Janeiro, RJ, Brazil. Additional authors for this research include J. Martins and V. Oguri.

Keywords for this news article include: Brazil, Polynomial, Mathematics, Quantum Dots, South America, Rio de Janeiro, Nanotechnology, Emerging Technologies

Our reports deliver fact-based news of research and discoveries from around the world. Copyright 2014, NewsRx LLC


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Source: Journal of Mathematics


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