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Particle correlations in anisotropic traps

P. KOŚCIK1, A. OKOPIŃSKA1,*

Affiliation

  1. Institute of Physics, Świętokrzyska Academy ul. Świętokrzyska 15, 25-406 Kielce, Poland

Abstract

We study the two-dimensional system of charged particles in an anisotropic harmonic potential which serves well as a model of a quantum dot. A numerical analysis of the dependence of the one-particle density and the correlation functions on the harmonic frequencies aspect ratio is presented. For the two-particle system we show that in the case of aspect ratio ωy : ωx = 2, when the problem becomes completely separable, the quasi-exact solutions may be obtained at particular values of confinement frequencies. We use the analytically known eigenfunctions to derive the exact results for various correlation characteristics of the system. The frequencies at which the exact solutions exist correspond to the interesting case of weak confinement, where the correlation effects are important and manifest by formation of Wigner molecules..

Keywords

Quantum dots, Wigner molecules, Quasi-solvable problems.

Submitted at: April 1, 2008
Accepted at: July 1, 2008

Citation

P. KOŚCIK, A. OKOPIŃSKA, Particle correlations in anisotropic traps, Journal of Optoelectronics and Advanced Materials Vol. 10, Iss. 7, pp. 1732-1739 (2008)