Convergent perturbation expansion for the anharmonic oscillator

C. K. Au*, G. W. Rogers, Y. Aharonov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We study the ground state as well as the first three excited states of the anharmonic oscillator with anharmonicity λx4 for a range of λ = (0, 10) with the first-order logarithmic perturbation iteration method (FOLPIM). This leads to convergent results. The initial choice of the wave function seems only to affect the rate of convergence in the case of the ground state but may critically affect the convergence for the excited states. For large values of λ, convergence is best obtained by choosing the asymptotic solution as the initial "unperturbed" wave function.

Original languageEnglish
Pages (from-to)287-292
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume95
Issue number6
DOIs
StatePublished - 9 May 1983
Externally publishedYes

Funding

FundersFunder number
National Science FoundationPHY 79-01053, ISP 80-11451
University of South Carolina

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