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
An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials
Download
index.pdf
Date
2014-01-01
Author
Akçay, Hüseyin
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
219
views
0
downloads
Cite This
Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second-order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.
Subject Keywords
Mathematical Physics
,
Atomic and Molecular Physics, and Optics
,
Condensed Matter Physics
URI
https://hdl.handle.net/11511/62551
Journal
PHYSICA SCRIPTA
DOI
https://doi.org/10.1088/0031-8949/89/01/015003
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
The Dirac-Yukawa problem in view of pseudospin symmetry
AYDOĞDU, OKTAY; Sever, Ramazan (IOP Publishing, 2011-08-01)
An approximate analytical solution of the Dirac equation for the Yukawa potential under the pseudospin symmetry condition is obtained using the asymptotic iteration method. We discover the energy eigenvalue equation and some of the numerical results are listed. Wave functions are obtained in terms of hypergeometric functions. Extra degeneracies are removed by adding a new term, A/r(2), to the Yukawa potential. The effects of tensor interaction on the two states in the pseudospin doublet are also investigated.
Approximate analytical solutions of the Klein-Gordon equation for the Hulthen potential with the position-dependent mass
Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET (IOP Publishing, 2009-01-01)
The Klein-Gordon equation is solved approximately for the Hulthen potential for any angular momentum quantum number l with the position-dependent mass. Solutions are obtained by reducing the Klein-Gordon equation into a Schrodinger-like differential equation using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the wavefunctions. It is found that the results in the case of constant mass are in good agreement with the ones obtain...
A Fourier-Bessel expansion for solving radial Schrodinger equation in two dimensions
Taşeli, Hasan (Wiley, 1997-02-15)
The spectrum of the two-dimensional Schrodinger equation for polynomial oscillators bounded by infinitely high potentials, where the eigenvalue problem is defined on a finite interval r is an element of [0, L), is variationally studied. The wave function is expanded into a Fourier-Bessel series, and matrix elements in terms of integrals involving Bessel functions are evaluated analytically. Numerical results presented accurate to 30 digits show that, by the time L approaches a critical value, the tow-lying ...
Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov-Uvarov method
Aydogdu, Oktay; Sever, Ramazan (IOP Publishing, 2009-07-01)
We investigate the energy spectra and corresponding wave functions of the Dirac equation for pseudoharmonic potential with spin and pseudospin symmetry. To obtain an analytical solution of the Dirac equation, we consider the Nikiforov-Uvarov method in the calculations. For any spin-orbit coupling term kappa, we find the closed forms of the energy eigenvalues and also obtain the radial wave functions in the spin and pseudospin symmetry limits.
THE NONLINEAR COLD PLASMA-BUNCHED BEAM INTERACTION AND THE PLASMA WAKEFIELD ACCELERATOR CASE
BILIKMEN, S; NAZIH, RM (IOP Publishing, 1993-02-01)
In this paper, a nonlinear analytical solution for a cold plasma-bunched beam system based on the Hamiltonian formalism where alpha = n(b)/n0 and beta(phi) = upsilon(phi)/c have been taken as parameters matching between zero and unity is given. The oscillation limiting energies, frequencies and transformer ratios have been carried out in general for both the one-dimensional and the case where a small transverse component of motion is included. The plasma wakefield accelerator has been treated as a special c...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
H. Akçay and R. Sever, “An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials,”
PHYSICA SCRIPTA
, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62551.