1997
DOI: 10.1063/1.473370
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Perturbation theory for coupled anharmonic oscillators

Abstract: Articles you may be interested inReduced dynamics of coupled harmonic and anharmonic oscillators using higher-order perturbation theory

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Cited by 14 publications
(13 citation statements)
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“…The last significant digit of each eigenvalue shown in that table has been estimated by simple inspection of the sequence of roots of the approximants. The complex eigenvalues for set (b) of potential parameters obtained by Sergeev and Goodson 28 by means of quadratic Padé approximants and shown in Table VI correct previous results 26.…”
Section: Two‐dimensional Anharmonic Oscillatorssupporting
confidence: 83%
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“…The last significant digit of each eigenvalue shown in that table has been estimated by simple inspection of the sequence of roots of the approximants. The complex eigenvalues for set (b) of potential parameters obtained by Sergeev and Goodson 28 by means of quadratic Padé approximants and shown in Table VI correct previous results 26.…”
Section: Two‐dimensional Anharmonic Oscillatorssupporting
confidence: 83%
“…By means of the approximants constructed here from perturbation series of order P ≤40 (in ξ=λ 2 ), we cannot estimate the imaginary parts that are smaller than about 10 −10 because the corresponding roots are real. Our result for λ=0.11 is even more accurate than the “exact” eigenvalue obtained by large‐order Padé summation 26. The last significant digit of each eigenvalue shown in that table has been estimated by simple inspection of the sequence of roots of the approximants.…”
Section: Two‐dimensional Anharmonic Oscillatorsmentioning
confidence: 56%
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