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A general expression for the energy eigenvalues of an anharmonic oscillator characterized by the potential ½(m2x2)+x2 ( > 0) has been derived non-perturbatively. For quartic ( = 2), sextic ( = 3) and octic ( = 4) anharmonic oscillators, over a wide range of n and , these energy values agree well with the numerical values calculated by earlier workers.

The mass dependence of the M3Y-type effective interactions and the effects of tensor correlations are examined. Two-body nuclear matrix elements are obtained by the lowest order constrained variational (LOCV) technique with and without tensor correlations. We have found that the tensor correlations are important especially in the triplet-even (TE) and tensor-even (TNE) channels in order to reproduce the G-matrix elements obtained previously.

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