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Nonrelativistic shifted-l expansion technique for three- and two-dimensional Schrodinger equation

Omar Mustafa·Thabit Barakat
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Abstract

The shifted-l expansion technique (SLET) has been developed to get eigenvalues of Schrodinger equation in three (3D) and two dimensions (2D). SLET simply consists of 1/\bar{l} as a perturbation parameter, where \bar{l}=l-β, βis a suitable shift, l is the angular momentum quantum number for 3D-case, l=|m| for the 2D-case, and m is the magnetic quantum number. Unlike the shifted large-N expansion theory (SLNT), SLET seems to be applicable to a wider number of problems of significant interest in physics.

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Omar Mustafa, Thabit Barakat. 1999-10-26. Nonrelativistic shifted-l expansion technique for three- and two-dimensional Schrodinger equation. https://arxiv.org/abs/math-ph/9910040

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