Pseudo perturbative expansion method; the non-polynomial, cutoff - Coulomb, and Coulomb plus logarithmic potentials

Omar Mustafa; Maen Odeh

Pseudo perturbative expansion method; the non-polynomial, cutoff - Coulomb, and Coulomb plus logarithmic potentials

Mathematical Physics 2007-05-23 v1 math.MP

Authors: Omar Mustafa , Maen Odeh

Abstract

We propose a new analytical method to solve for nonexactly soluble Schrodinger equation via expansions through some existing quantum numbers. Successfully, it is applied to the rational non-polynomial oscillator potential. Moreover, a conclusion reached by Scherrer et al. [2], via matrix continued fractions method, that the shifted large N expansion method leads to dubious accuracies is investigated. The cutoff - Coulomb and Coulomb plus logarithmic potentials are also investigated.

Keywords

pseudo perturbative expansion method schrödinger equation non-polynomial oscillator potential cutoff-coulomb potential coulomb plus logarithmic potential shifted large n expansion matrix continued fractions

Cite

@article{arxiv.math-ph/0101029,
  title  = {Pseudo perturbative expansion method; the non-polynomial, cutoff - Coulomb, and Coulomb plus logarithmic potentials},
  author = {Omar Mustafa and Maen Odeh},
  journal= {arXiv preprint arXiv:math-ph/0101029},
  year   = {2007}
}

Comments

Conference on Analysis and Mathematical Physics, Lund University, Lund - Sweden, August 16-20,1999, text of 30 mnts talk for proceedings

Pseudo perturbative expansion method; the non-polynomial, cutoff - Coulomb, and Coulomb plus logarithmic potentials

Abstract

Keywords

Cite

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