Use of Nonlinear Sequence-to-Sequence Transformations in High-Order Perturbation Theory Calculations
- 1 January 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 3 (1), 510-512
- https://doi.org/10.1103/physreva.3.510
Abstract
The sequences of partial sums for quantities such as bound-state energies that one obtains from high-order perturbation theory often have poor convergence qualities. Here it is pointed out that use of nonlinear sequence-to-sequence transformations may dramatically improve the convergence properties of the perturbation theory results. This technique is illustrated by application to data from a recent paper.Keywords
This publication has 4 references indexed in Scilit:
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- Perturbation Study of Some Excited States of Two-Electron AtomsPhysical Review B, 1969
- Attractive Two-Body Interactions in Partially Ionized PlasmasPhysical Review B, 1962
- Non‐linear Transformations of Divergent and Slowly Convergent SequencesJournal of Mathematics and Physics, 1955