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Potential functions of the form V (ξ) = ξ 6 — υ 2 ξ 2 can be useful in problems involving two symmetrical energy minima. Eigenvalues, eigenvectors (linear combinations) and transition integrals of such one‐dimensional sixth power oscillators have been calculated for a set of equidistant values of the parameter υ 2 .
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Fabian Gerson (1961) studied this question.
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