Solving Schrodinger Equation for Three-Electron Quantum Systems by the Use of The Hyperspherical Function Method

Method of Hyperspherical functions proved to be very effective for the investigation of
three electron quantum dots in 2 D space. First time three electron quantum dots have
been studied by the use of logarithmic electron-electron potential. Obtained theoretical
results for the ground state energies demonstrated satisfactory agreement with existing
experimental data


A new mathematical model for the description of three electron quantum dots in 2D space is created, and ground states of this system in external magnetic field is investigated. The Schrodinger equation for three two-dimensional electrons is solved by the use of the Hyperspherical Function Method (HFM) It is shown that the HFM allows us to separate the center of mass movement and solve Schrodinger Equation with the use of the logarithmic potential of electron-electron interactions. Ground state energy levels as function of the magnetic field frequency is obtained.

This publication has been peer reviewed.
Publication Type: 
Web Article
Lia Margolin, Shalva Tsiklauri
Year of Publication: 
Journal, Book, Magazine or Other Publication Title: 
ePrint arXiv
Cornell University Library
Date Published: 
Tuesday, October 16, 2007
Place Published: 
Cornell University, USA
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