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Sharmistha Dhatt and Kamal Bhattacharyya Embedding scaling relations in Padé approximants: Detours to tame divergent perturbation series International Journal of Quantum Chemistry 113

Version of Record online: 23 FEB 2012 | DOI: 10.1002/qua.24025

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Practitioners of quantum mechanics know that power series expressions, which emerge out of applications of Rayleigh-Schrodinger perturbation theory, often diverge. Padé approximants are useful in solving this problem, but fail miserably when approximants are constructed from power-series expansion of a function F(l) having a fractional power-law dependence on l asymptotically. Ways of improving such situations are discussed with specific reference to properties of the quartic anharmonic oscillator perturbation problem.

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