(ELSEVIER, 2000) Merad, M; Chetouani, L; Bounames, A
We 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.