Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1996-11-19
J. Phys.: Cond. Matter 9 (1997) 4643 - 4657
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
27 pages. LaTeX. 6 figures not included
Scientific paper
10.1088/0953-8984/9/22/017
We present analytic estimates for the energy levels of N electrons (N = 2 - 5) in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the confinement plane. The relevant scaled energy is shown to be a smooth function of the parameter \beta=(effective Rydberg/effective dot energy)^{1/6}. Two-point Pade approximants are obtained from the series expansions of the energy near the oscillator ($\beta\to 0$) and Wigner ($\beta\to\infty$) limits. The approximants are expected to work with an error not greater than 2.5% in the entire interval $0\le\beta < \infty$.
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