Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899627 | Reports on Mathematical Physics | 2014 | 10 Pages |
Abstract
In general, the Asymptotic Energy Expansion method (AEE) produces accurate eigenvalues for higher eigenstates when parameters of the nonleading power terms of the potential are small. However, the ground state and low eigenstates energies calculated from the AEE method are usually inaccurate. Further, when the parameters of the potential are large, accuracy of the AEE method becomes significantly deteriorated. In this paper we show that by applying the Padé approximation, the accuracy of AEE for the ground state and low eigenstates can be significantly improved and eigenenergies for large parameters can be accurately determined.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Thilagarajah Mathanaranjan, Asiri Nanayakkara,