Convergence properties of methods for effective operator calculations studied in a simple many-body model |
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Authors: | JM Leinaas TTS Kuo |
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Institution: | 1. Institute of Physics, University of Oslo, Oslo, Norway;2. Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11790 USA |
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Abstract: | Several methods for effective interaction and operator calculations based on the Rayleigh-Schrödinger and Brillouin-Wigner perturbation expansions are studied. Special emphasis is given to the use of Padé approximants for effective operator calculations. The convergence properties of the methods are studied numerically in a Lipkin many-body model. Among the various methods using Padé-approximants, the method based on a variational approach in the BW scheme is found to give most encouraging results for the present model. |
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