Lombard, R. J.Mezhoud, R.Yekken, R.2015-04-232015-04-232009https://dspace.univ-boumerdes.dz/handle/123456789/533In the D = 1 dimensional space, we study the bound state solutions of the potential V(x) = −e x + b x2 (e, b > 0). They occur on the right half-plane x 2 [0,1[. In the limit b!0, we recover the spectrum of the D = 1 Coulomb potential. Supersymmetric properties are briefly discussed. The model is extended by considering complex coupling constants. Nonlinear effects are also treated by considering a linear energy dependence of the e coupling constantenPseudoCoulombianDimensional spaceArticle