Phys. Rev. A 39, 5425 - 5427 (1989)

Comparison between the successive-perturbation method and the analytic-continuation method

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V. A. Popescu and I. M. Popescu
Department of Physics, Polytechnical Institute, Bucharest, Romania

M. C. Rusescu
I.C.P.C.M.P., Bucharest, Romania

Received 16 March 1988

It is shown that our method of ‘‘successive perturbations’’ is closely related to the method of analytic continuation of perturbation series via reexpansion about a shifted origin [Silverman, Sudhindra, and Olbrich, Phys. Rev. A 30, 1554 (1984)], in that the former procedure arises from successive incremental applications of the latter. The theory is illustrated with a second-order application to the anharmonic oscillator.


©1989 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v39/p5425
DOI: 10.1103/PhysRevA.39.5425
PACS: 03.65.-w

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