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Article
Two-dimensional quantum-dot helium in a magnetic field: Variational theory
Chemistry & Physics Faculty Publications
  • Orion Ciftja, Prairie View A and M University
  • M. Golam Faruk, Prairie View A and M University
Document Type
Article
Publication Date
11-15-2005
Abstract

A trial wave function for two-dimensional quantum-dot helium in an arbitrary perpendicular magnetic field (a system of two interacting electrons in a two-dimensional parabolic confinement potential) is introduced. A key ingredient of this trial wave function is a Jastrow pair correlation factor that has a displaced Gaussian form. The above choice of the pair correlation factor is instrumental in assuring the overall quality of the wave function at all values of the magnetic field. Exact numerical diagonalization results are used to gauge the quality of the proposed trial wave function. We find out that this trial wave function is an excellent representation of the true ground state at all values of the magnetic field including weak (or zero) and strong magnetic fields. © 2005 The American Physical Society.

Citation Information
Orion Ciftja and M. Golam Faruk. "Two-dimensional quantum-dot helium in a magnetic field: Variational theory" (2005)
Available at: http://works.bepress.com/orion-ciftja/111/