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Research PapersNo Access

THE ASYMPTOTIC ITERATION METHOD FOR THE EIGENENERGIES OF THE ASYMMETRICAL QUANTUM ANHARMONIC OSCILLATOR POTENTIALS

Physics Department, King Saud University, Riyadh 11451, Saudi Arabia

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and

O. M. AL-DOSSARY

Physics Department, King Saud University, Riyadh 11451, Saudi Arabia

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https://doi.org/10.1142/S0217751X07034131Cited by:5 (Source: Crossref)

Abstract

The asymptotic iteration method is used to calculate the eigenenergies for the asymmetrical quantum anharmonic oscillator potentials , with (α = 2) for quartic, and (α = 3) for sextic asymmetrical quantum anharmonic oscillators. An adjustable parameter β is introduced in the method to improve its rate of convergence. Comparing the present results with the exact numerical values, and with the numerical results of the earlier works, it is found that asymptotically, this method gives accurate results over the full range of parameter values A_j.

Keywords:

PACS: 03.65.Ge

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Vol. 22, No. 01

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History

Received 27 December 2005

Revised 31 July 2006

Keywords