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Bound states of the Klein-Gordon equation for Woods-Saxon potential with position dependent mass
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Date
2008-05-01
Author
Arda, Altug
Sever, Ramazan
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The effective mass Klein-Gordon equation in one dimension for the Woods-Saxon potential is solved by using the Nikiforov-Uvarov method. Energy eigenvalues and the corresponding eigenfunctions are computed. Results are also given for the constant mass case.
Subject Keywords
Mathematical Physics
,
Computational Theory and Mathematics
,
General Physics and Astronomy
,
Statistical and Nonlinear Physics
,
Computer Science Applications
URI
https://hdl.handle.net/11511/62544
Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
DOI
https://doi.org/10.1142/s0129183108012480
Collections
Department of Physics, Article
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We present the exact solution of the Klein Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this ring-shaped pseudoharmonic potential can be reduced to the three-dimensional (3D) pseudoharmonic solution once the coupling constant of the angular ...
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APPROXIMATE l-STATE SOLUTIONS OF A SPIN-0 PARTICLE FOR WOODS-SAXON POTENTIAL
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The radial part of Klein-Gordon equation is solved for the Woods-Saxon potential within the framework of an approximation to the centrifugal barrier. The bound states and the corresponding normalized eigenfunctions of the Woods-Saxon potential are computed by using the Nikiforov-Uvarov method. The results are consistent with the ones obtained in the case of generalized Woods-Saxon potential. The solutions of the Schrodinger equation by using the same approximation are also studied as a special case, and obt...
EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRODINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS
IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2009-03-01)
The point canonical transformation (PCT) approach is used to solve the Schrodinger equation for an arbitrary dimension D with a power-law position-dependent effective mass (PDEM) distribution function for the pseudoharmonic and modified Kratzer (Mie-type) diatomic molecular potentials. In mapping the transformed exactly solvable D-dimensional (D >= 2) Schrodinger equation with constant mass into the effective mass equation by using a proper transformation, the exact bound state solutions including the energ...
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A. Arda and R. Sever, “Bound states of the Klein-Gordon equation for Woods-Saxon potential with position dependent mass,”
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
, pp. 763–773, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62544.