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
Scattering of a spinless particle by an asymmetric Hulthen potential within the effective mass formalism
Download
index.pdf
Date
2012-10-01
Author
AYDOĞDU, OKTAY
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
116
views
38
downloads
Cite This
Effective mass Klein-Gordon equation for the asymmetric Hulthen potential is solved in terms of hypergeometric functions. Results are obtained for the scattering and bound states with the position dependent mass and constant mass, as a special case. In both cases, we derive a condition for the existence of transmission resonance (T = 1). We also study how the transmission resonance depends on the particle energy and the shape of the external potential. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4758926]
Subject Keywords
Expansion
,
Resonances
,
Bound-states
,
Dirac-equation
,
Klein-gordon equation
,
Low momentum scattering
,
One-dimensional scattering
,
Position-dependent mass
URI
https://hdl.handle.net/11511/62716
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.4758926
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Scattering and bound state solutions of the asymmetric Hulthen potential
Arda, Altug; AYDOĞDU, OKTAY; Sever, Ramazan (IOP Publishing, 2011-08-01)
The one-dimensional time-independent Schrodinger equation is solved for the asymmetric Hulthen potential. The reflection and transmission coefficients and bound state solutions are obtained in terms of the hypergeometric functions. It is observed that the unitary condition is satisfied in the non-relativistic region.
Relativistic Two-Dimensional Harmonic Oscillator Plus Cornell Potentials in External Magnetic and AB Fields
Ikhdair, Sameer M.; Sever, Ramazan (Hindawi Limited, 2013)
<jats:p>The Klein-Gordon (KG) equation for the two-dimensional scalar-vector harmonic oscillator plus Cornell potentials in the presence of external magnetic and Aharonov-Bohm (AB) flux fields is solved using the wave function ansatz method. The exact energy eigenvalues and the wave functions are obtained in terms of potential parameters, magnetic field strength, AB flux field, and magnetic quantum number. The results obtained by using different Larmor frequencies are compared with the results in the absenc...
Bound-state solutions of the Klein-Gordon equation for the generalized PT-symmetric Hulthen potential
Egrifes, Harun; Sever, Ramazan (2007-04-01)
The one-dimensional Klein-Gordon equation is solved for the PT-symmetric generalized Hulthen potential in the scalar coupling scheme. The relativistic bound-state energy spectrum and the corresponding wave functions are obtained by using the Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type.
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.
Bound states of the Klein-Gordon equation for Woods-Saxon potential with position dependent mass
Arda, Altug; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-05-01)
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.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
O. AYDOĞDU, A. Arda, and R. Sever, “Scattering of a spinless particle by an asymmetric Hulthen potential within the effective mass formalism,”
JOURNAL OF MATHEMATICAL PHYSICS
, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62716.