An approximate, variational method for the study of the generalized anharmonic oscillator p²2m+mω²x²2+λV(x) is presented, $V(x)$ representing a broad class of even functions of the coordinate which admits a series expansion. The idea of the method is to introduce into the unperturbed oscillator states the correlations due to the presence of the anharmonic term via a unitary operator e^i^F which is determined by the variational principle. Applications to the special case λx²ᵐ are made, and the results are compared with those obtained with different exact treatments.
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Bozzolo et al. (1981) studied this question.
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