Some solutions of a supersymmetric nonpolynomial oscillator-a comparison between the SWKB and WKB methods
- 7 April 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (7) , 1589-1594
- https://doi.org/10.1088/0305-4470/21/7/022
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.Keywords
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