Quasi-relativistic harmonic bound states

Details Quasi-relativistic harmonic bound states Quasi-relativistic harmonic bound states

1999-10-14

arxiv.org/abs/math-ph/9910019v1

J. Phys. A: Math. Gen. 32 (1999) 6653-6662

Physics

Mathematical Physics

24 pages

Scientific paper

10.1088/0305-4470/32/38/304

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.

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