Simple procedure to compute accurate energy levels of an anharmonic oscillator
- 15 March 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 25 (6), 1557-1564
- https://doi.org/10.1103/physrevd.25.1557
Abstract
A procedure based on the piecewise perturbation treatment of the Schrödinger equation is developed. The procedure is shown to be convergent for any bounded perturbation. A simple way to construct the algorithm is also developed, which can be used for any potential of polynomial form. Our procedure is further particularized for the anharmonic-oscillator potential ( and integer ) and applied to produce highly accurate numerical values for its energy levels. The experimental results also show that this procedure exhibits almost equal efficiency for all relevant values of the principal quantum number , mass parameter , coupling , and anharmonicity .
Keywords
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