EIGENVALUE PROBLEM FOR SCHRÖDINGER EQUATION USING NUMEROV METHOD

 

 In this paper we present an original method to solve the one-dimensional Schrödinger equation in Wood Saxon potential, with both an inner and outer classical turning point which can be used in other fields (for example molecular spectroscopy) and also the its numerical solution. These involve choice of a step size, changing step size, iteration on the eigenvalue, setting upper and lower bounds on the eigenvalue, determining a useful range of the coordinate for the numerical integration, a numerical example with Wood–Saxon potential and a comparation between  Numerov method and other methods.

 

https://www.scientificbulletin.upb.ro/rev_docs_arhiva/full68136.pdf