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


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
Issue number6
StatePublished - 9 May 1983
Externally publishedYes


Dive into the research topics of 'Convergent perturbation expansion for the anharmonic oscillator'. Together they form a unique fingerprint.

Cite this