Oscillators with quartic anharmonicity: Approximate energy levels

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Abstract

A variation-perturbation method is presented for obtaining approximate eigenvalues of quantum mechanical oscillators with the potential energy function V(x) = ax4 + cx2. Numerical results show that solution of a cubic equation can often yield energy differences between the levels accurate to better than 0.001%. The method is accurate for both high and low quantum numbers.

Original languageEnglish (US)
Pages (from-to)415-421
Number of pages7
JournalJournal of molecular spectroscopy
Volume38
Issue number2
DOIs
StatePublished - May 1971

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