128 research outputs found
Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method
The approximately analytical bound state solutions of the l-wave
Schr\"odinger equation for the Manning-Rosen (MR) potential are carried out by
a proper approximation to the centrifugal term. The energy spectrum formula and
normalized wave functions expressed in terms of the Jacobi polynomials are both
obtained for the application of the Nikiforov-Uvarov (NU) method to the
Manning-Rosen potential. To show the accuracy of our results, we calculate the
eigenvalues numerically for arbitrary quantum numbers n and l with two
different values of the potential parameter {\alpha}. It is found that our
results are in good agreement with the those obtained by other methods for
short potential range, small l and {\alpha}. Two special cases are investigated
like the s-wave case and Hulth\'en potential case.Comment: 21 pages, 2 figures. arXiv admin note: substantial text overlap with
arXiv:0909.062
Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
We study the effect of spatially dependent mass functions over the solution
of the Klein-Gordon equation in the (3+1)-dimensions for spinless bosonic
particles where the mixed scalar-vector Coulomb-like field potentials and
masses are directly proportional and inversely proportional to the distance
from force center. The exact bound state energy eigenvalues and the
corresponding wave functions of the Klein-Gordon equation for mixed
scalar-vector and pure scalar Coulomb-like field potentials are obtained by
means of the Nikiforov-Uvarov (NU) method. The energy spectrum is discussed for
different scalar-vector potential mixing cases and also for constant mass case.Comment: 17 pages; to be published in European Journal of Physics A (2009
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