Exact solvability of two new 3D and 1D nonrelativistic potentials within the TRA framework
Mathematical Physics
2018-11-14 v2 math.MP
Abstract
This work is concerned about introducing two new 1D and 3D confined potentials and present their solutions using the Tridiagonal Representation Approach (TRA). The wavefunction is written as a series in terms of square integrable basis functions which are expressed in terms of Jacobi polynomials. Moreover, the expansion coefficients are written in terms of new orthogonal polynomials that were introduced recently by Alhaidari, the analytical properties of these polynomials are yet to be derived. Moreover, we have computed the numerical eigen-energies for both potentials by considering specific choices of the potential parameters.
Keywords
Cite
@article{arxiv.1806.01929,
title = {Exact solvability of two new 3D and 1D nonrelativistic potentials within the TRA framework},
author = {I. A. Assi and H. Bahlouli and A. Hamdan},
journal= {arXiv preprint arXiv:1806.01929},
year = {2018}
}