Continued-Franction Method for Perturbation Theory
- 18 September 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 29 (12) , 811-814
- https://doi.org/10.1103/physrevlett.29.811
Abstract
A direct operational approach to the solution of the Schrödinger equation has led to an iterative nonperturbative method for its solution. The method, when applied to the Mathieu equation and the anharmonic-oscillator equation, is superior to the perturbation-iteration method and to Rayleigh-Schrödinger perturbation theory both in terms of rate of convergence and range of coupling constant allowed.Keywords
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