Abstract
It is shown that the non-polynomial oscillator represented by V(x)=x2+ lambda x2//(1+gx2) can be given a supersymmetric form if the parameter lambda satisfies a certain constraint. In this case one finds an exact analytic expression for the ground state. Excited states corresponding to this potential are computed for several values of g (and lambda ) using the supersymmetric WKB method, the ordinary WKB method and also numerical integration. The results are compared.
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