Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Bound states of the Klein-Gordon equation for Woods-Saxon potential with position dependent mass
Download
index.pdf
Date
2008-05-01
Author
Arda, Altug
Sever, Ramazan
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
232
views
0
downloads
Cite This
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
Suggestions
OpenMETU
Core
EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN-GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL
IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-09-01)
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 ...
Exact solutions of the modified Kratzer potential plus ring-shaped potential in the d-dimensional Schrodinger equation by the Nikiforov-Uvarov method
IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-02-01)
We present analytically the exact energy bound-states solutions of the Schrodinger equation in D dimensions for a recently proposed modified Kratzer plus ring-shaped potential by means of the Nikiforov-Uvarov method. We obtain an explicit solution of the wave functions in terms of hyper-geometric functions (Laguerre polynomials). The results obtained in this work are more general and true for any dimension which can be reduced to the well-known three-dimensional forms given by other works.
Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
Egrifes, H; Sever, Ramazan (Elsevier BV, 2005-09-05)
The one-dimensional Dirac equation is solved for the PT-symmetric generalized Hulthen potential. The Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions.
APPROXIMATE l-STATE SOLUTIONS OF A SPIN-0 PARTICLE FOR WOODS-SAXON POTENTIAL
Arda, Altug; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2009-04-01)
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...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
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.