English

Quasi-relativistic harmonic bound states

Mathematical Physics 2009-10-31 v1 math.MP

Abstract

The quasi-relativistic harmonic oscillator bound states constructed by Znojil (J. Phys. A: Math. Gen. 29 (1999)2905) are investigated via a new methodical proposal. Compared with those obtained by an anonymous referee (from a direct numerical integration method)of Znojil's paper, our results appear to be more favourable than those obtained by Znojil via quasi-perturbation, variational, Hill-determinant and Riccati-Pade' methods. Bound states with larger angular momenta l, are also constructed.

Keywords

Cite

@article{arxiv.math-ph/9910019,
  title  = {Quasi-relativistic harmonic bound states},
  author = {Omar Mustafa and Maen Odeh},
  journal= {arXiv preprint arXiv:math-ph/9910019},
  year   = {2009}
}

Comments

24 pages

R2 v1 2026-07-22T16:30:23.887Z