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
Analytical solution of the Schrodinger equation for Makarov potential with any l angular momentum
Date
2008-11-01
Author
Bayrak, O.
Karakoc, M.
Boztosun, I.
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
206
views
0
downloads
Cite This
We present the analytical solution of the Schrodinger Equation for the Makarov potential within the framework of the asymptotic iteration method for any n and l quantum numbers. Energy eigenvalues and the corresponding wave functions are calculated. We also obtain the same results for the ring shaped Hartmann potential which is the special form of the non-central Makarov potential.
Subject Keywords
Physics and Astronomy (miscellaneous)
,
General Mathematics
URI
https://hdl.handle.net/11511/62888
Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
DOI
https://doi.org/10.1007/s10773-008-9735-9
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Polynomial solution of non-central potentials
Ikhdair, Sameer M.; Sever, Ramazan (Springer Science and Business Media LLC, 2007-10-01)
We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.
Exact polynomial solution of PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method
Ikhdair, Sameer M.; Sever, Ramazan (Springer Science and Business Media LLC, 2007-06-01)
UUsing the Nikiforov-Uvarov ( NU) method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon (WS) model potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the PT-symmetric quantum mechanics, we exactly solved the time-independent Schrodinger equation with same potential for the s-states and also for any l-state as well. It is shown that the results are in good agreement w...
Unified treatment of spacelike and timelike SO(3,1) Yang-Mills fields
Dundarer, AR (Springer Science and Business Media LLC, 2001-07-01)
SO(3, 1) valued Yang-mills fields stemming from spacelike and timelike vectors that were studied separately in earlier works are unified by introducing a parameter lambda that takes values in the interval [-1, 1].
A General Approach for the Exact Solution of the Schrodinger Equation
TEZCAN, CEVDET; Sever, Ramazan (Springer Science and Business Media LLC, 2009-02-01)
The Schrodinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrodinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.
Thermal and optical properties of two molecular potentials
Eshghi, Mahdi; Sever, Ramazan; Ikhdair, Sameer M. (Springer Science and Business Media LLC, 2019-04-01)
We solve the Schrodinger wave equation for the generalized Morse and cusp molecular potential models. In the limit of high temperature we, first, need to calculate the canonical partition function which is basically used to study the behavior of the thermodynamic functions. Based on this, we further calculate the thermodynamic quantities, such as the free energy, the entropy, the mean energy and the specific heat. Their behavior with the temperature has been investigated. In addition, the susceptibility for...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
O. Bayrak, M. Karakoc, I. Boztosun, and R. Sever, “Analytical solution of the Schrodinger equation for Makarov potential with any l angular momentum,”
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
, pp. 3005–3014, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62888.