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

196
views

0
downloads

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

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.