The paper deals with the numerical solution of inverse Sturm-Liouville problems with unknown potential symmetric over the interval [0, π]. The proposed method is based on the use of a family of Boundary Value Methods, obtained as a generalization of the Numerov scheme, aimed to the computation of an approximation of the potential belonging to a suitable function space of finite dimension. The a...

The wave functions and the ground state energies for bound states of four different muonic electronic molecules, governed by Chern–Simons potential in two spatial dimensions, are numerically obtained with Numerov method. new results compared former planar configuration studies that consider attractive as being proportional to ln(?), well three-dimensional analogs assuming a Coulomb potential.

Bidimensional muonic and electronic atoms, with nuclei composed of a proton, deuteron, triton, governed by Chern-Simons potential, are numerically solved. Their eigenvalues eigenfunctions determined slightly modified Numerov method. Results compared those assuming that the same atoms usual $1/r$ potential even in two-dimensional space, as well its three-dimensional analogs.

We present accurate numerical results for the one-dimensional stationary Schrödinger equation in case of three quantum problems: harmonic oscillator, radial a Hydrogen atom, and particle penetration through potential barrier. All them were solved by Numerov method with high accuracy we plot their wave functions using calculations. Furthermore, offer methods solving boundary value problems, eige...

in this paper, the numerical solution methods of one- particale, one – dimensional time- independentschrodinger equation are presented that allows one to obtain accurate bound state eigen values andeigen functions for an arbitrary potential energy function v(x). these methods included the fem(finite element method), cooly, numerov and others. here we considered the numerov method inmore details...