TY - JOUR

T1 - Convergent perturbation expansion for the anharmonic oscillator

AU - Au, C. K.

AU - Rogers, G. W.

AU - Aharonov, Y.

N1 - Funding Information:
This work is supported by the National Science Foundation under Grants No. PHY 79-01053 and ISP 80-11451 and by the University of South Carolina under Grant No. USC-13070-E 121. CKA expresses thanks to Professor W. Kohn of the Santa Barbara Institute and to Professor A. Dalgarno of Harvard-Smithsonian Astrophysics Observatory for their hospitality while part of this work was being done.

PY - 1983/5/9

Y1 - 1983/5/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=48749143866&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(83)90021-X

DO - 10.1016/0375-9601(83)90021-X

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AN - SCOPUS:48749143866

SN - 0375-9601

VL - 95

SP - 287

EP - 292

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -