1,103 research outputs found
Comment on " a unified scheme for flavored mesons and baryons"
We would comment on the results of the paper "a unified scheme for flavored
mesons and baryons" (P.C.Vinodkumar, J.N.Panandya, V.M.Bannur, and
S.B.Khadkikar Eur. Phys. J. A4(1999)83), and point out some inconsistencies and
mistakes in the work for solving the Dirac equation. In terms of an example for
a single particle we investigate the reliability of the perturbative method for
computing the Coulomb energy and discuss the contribution to the wavefunction
at origin from the Coulomb potential. We conclude that the accuracy of their
numerical results needs to be reconsidered.Comment: Latex file, 11page
Applicability of the Friedberg-Lee-Zhao method
Friedberg, Lee and Zhao proposed a method for effectively evaluating the
eigenenergies and eigen wavefunctions of quantum systems. In this work, we
study several special cases to investigate applicability of the method.
Concretely, we calculate the ground-state eigenenergy of the Hellmann potential
as well as the Cornell potential, and also evaluate the energies of the systems
where linear term is added to the Coulomb and harmonic oscillator potentials as
a perturbation. The results obtained in this method have a surprising agreement
with the traditional method or the numerical results. Since the results in this
method have obvious analyticity compared to that in other methods, and because
of the simplicity for calculations this method can be applied to solving the
Schr\"{o}dinger equation and provides us better understanding of the physical
essence of the concerned systems. But meanwhile applications of the FLZ method
are restricted at present, especially for certain potential forms, but due to
its obvious advantages, it should be further developed.Comment: 14 pages,no figure
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