Merad, MChetouani, LBounames, A2022-04-272022-04-272000http://hdl.handle.net/123456789/12929We solve the one-dimensional Feshbach–Villars equation for spinless particle subjected to a scalar smooth potential. The wave function is given in terms of the hypergeometric function and via a limiting procedure, the wave functions of the step potential are deduced. Then, the appropriate boundary conditions for the step potential are deduced using the two-component form.enArticle