Two-point Pade approximants
نویسنده
چکیده
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 β=(effective Rydberg/effective dot energy)1/6. Two-point Pade approximants are obtained from the series expansions of the energy near the oscillator (β → 0) and Wigner (β → ∞) limits. The approximants are expected to work with an error not greater than 2.5% in the entire interval 0 ≤ β < ∞. ∗ On leave from the Instituto de Cibernetica, Matematica y Fisica, Calle E 309, Vedado, Habana 4, Cuba
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