Skala, L. and Cizek, J. and Kapsa, V. and Weniger, Ernst Joachim (1997) Large-order analysis of the convergent renormalized strong-coupling perturbation theory for the quartic anharmonic oscillator. PHYSICAL REVIEW A, 56 (6). pp. 4471-4476. ISSN 1050-2947, 1094-1622
Full text not available from this repository.Abstract
Two hundred coefficients of the renormalized strong-coupling perturbation expansion for the ground and first excited states of the quartic anharmonic oscillator are calculated numerically. The large-order behavior of the perturbation coefficients is analyzed, a general and comparatively simple analytic formula describing their large-order behavior is proposed, and it is shown that this formula is consistent with known results from the divergent weak-coupling expansion. The accuracy of our numerically determined coefficients is checked by summation rules. In particular, if the summation rules are supplemented by the leading terms of our large-order formula, we obtain remarkably accurate results. This independently confirms the correctness of our large-order analysis. It is shown that the renormalized strong-coupling expansion converges-in contrast to other perturbation expansions-for all physically relevant coupling constants. [S1050-2947(97)03712-8].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GROUND-STATE ENERGY; EFFICIENT METHOD; EXPANSION |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Mar 2023 06:59 |
| Last Modified: | 02 Mar 2023 07:00 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50389 |
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