Yukawa potential

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A Semirelativistic Treatment of Spinless Particles Subject to The Yukawa Potential with Arbitrary Angular Momenta

Journal Title, Volume, Page: 
International Journal of Modern Physics E Vol. 21, No. 2 1250016 (13 pages)
Year of Publication: 
2012
Authors: 
SAMEER M. IKHDAIR
Physics Department, Near East University, Nicosia, North Cyprus, Mersin 10, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
MAJID HAMZAVI
Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
M. SOLAIMANI
Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Preferred Abstract (Original): 
We obtain analytical solutions of the two-body spinless Salpeter (SS) equation with Yukawa potential within the conventional approximation scheme to the centrifugal term for any -state. The semi-relativistic bound state energy spectra and the corresponding normalized wave functions are calculated by means of the Nikiforov-Uvarov (NU) method. We also obtain the numerical energy spectrum of the SS equation without any approximation to centrifugal term for the same potential and compare them with the approximated numerical ones obtained from the analytical expressions. It is found that the exact numerical results are in good agreement with the approximated ones for the lower energy states. Special cases are treated like the nonrelativistic limit and the solution for the Coulomb problem.
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A Perturbative Treatment for the Energy Levels of Neutral Atoms

Journal Title, Volume, Page: 
International Journal of Modern Physics A Vol. 21, No. 31,6465- 6476
Year of Publication: 
2006
Authors: 
Sameer M. Ikhdair
Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Ramazan Sever
Department of Physics, Middle East Technical University, 06531 Ankara, Turkey
Preferred Abstract (Original): 
Energy levels of neutral atoms have been re-examined by applying an alternative perturbative scheme in solving the Schrodinger equation for the Yukawa potential model with a modified screening parameter. The predicted shell binding energies are found to be quite accurate over the entire range of the atomic number Z up to 84 and compare very well with those obtained within the framework of hyper-virial-Pade scheme and the method of shifted large-N expansion. It is observed that the new perturbative method may also be applied to the other areas of atomic physics.
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Klein–Gordon Solutions for a Yukawa-like Potential

Journal Title, Volume, Page: 
Z. Naturforsch. XXX, 1 – 10
Year of Publication: 
2013
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 

The Klein–Gordon equation for a recently proposed Yukawa-type potential is solved with any or-bital quantum number l. In the equally mixed scalar-vector potential fields $S(r) = \pm V(r)$ the approximateenergy eigenvalues and their wave functions for a particle and anti-particle are obtained by means of the parametric Nikiforov–Uvarov method. The non-relativistic solutions are also investigated. It is found that the present analytical results are in exact agreement with the previous ones.

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Spinless Particles in the Field of Unequal Scalar Vector Yukawa Potentials

Journal Title, Volume, Page: 
Chin. Phys. B Vol. 22, No. 4 040301
Year of Publication: 
2013
Authors: 
Sameer M. Ikhdair
Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine
Current Affiliation: 
Department of Physics, An-Najah National University, Nablus, Palestine
Karl-Erik Thylwe
KTH-Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden
Majid Hamzavi
Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran
Preferred Abstract (Original): 
We present analytical bound state solutions of the spin-zero Klein-Gordon (KG) particles in the field of unequal mixture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary -state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a simple shortcut of the Nikiforov-Uvarov (NU) method. Further, we solve the KG-Yukawa problem for its exact numerical energy eigenvalues via amplitude phase (AP) method to test the accuracy of the present solutions found by using the NU method. Our numerical tests using energy calculations demonstrate the existence of inter-dimensional degeneracy amongst energy states of the KG-Yukawa problem. The dependence of the energy on the dimension is numerically discussed for spatial dimensions
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