1999/09/07 by Omar Mustafa, Maen Odeh · 2 citations
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/32/38/304
published as J. Phys. A: Math. Gen. 32 (1999) 6653-6662 · 24 pages
openalex publication_date 1999/09/07 · arxiv created 1999/10/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The quasi-relativistic harmonic oscillator bound states constructed by Znojil (1996 J. Phys. A: Math. Gen. 29 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-perturbative, variational, Hill-determinant and Riccati-Padé methods. Bound states with larger angular momenta, l , are also constructed.