Mémoire présenté et défendu publiquement en vue de l' obtention du grade de licencié en sciences physiques

The present work concerns the resolution of the second order differential equations in particular stationnary Schrödinger equation by using wronskian method with two applications,the first on gaussian potential and the other on the poschl-Teller potential.

After the first chapter devorted to some fundamental notions on the wronskian method where every proterties are the same as these of determinants,we consider stationnary Schrödinger equation in one-dimension with the purpose of calculating the energies and eigenfunctions of bound states.

The find those energies and eigenfunctions,we need to solve,in serveral rounds,a system of differential equations of the first order.We have turned to faturnla method to solve numerically that differential system.

On numerical plan,FORTRAN 90 code has been used,that is for putting into practice the wronskian method and the one of fotunla applied on two potential above-mentioned.

Our work ends with the presentation of the results of numerical simulations. These resultats show that the wrpnskian is efficient for energies calculation and the wavefunctions of bound states in case of potential with short impact.