N electrons in a quantum dot: two-point Padé approximants
Augusto Gonzalez; Augusto Gonzalez; Departamento de Fisica, Universidad Nacional de Colombia, Sede Medellin, AA 3840, Medellin, Colombia, and Instituto de Cibernetica, Matematica y Fisica, Calle E 309, Vedado, Habana 4, Cuba
Журнал:
Journal of Physics: Condensed Matter
Дата:
1997-06-02
Аннотация:
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 . Two-point Padé approximants are obtained from the series expansions of the energy near the oscillator and Wigner limits. The approximants are expected to work with an error not greater than 2.5% over the entire interval .
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