Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier

Download

index.pdf

Date

2012-08-01

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

228
views

0
downloads

Approximate analytical bound state solutions of the radial Schrodinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where q >= 1 and q = 0. The energy eigenvalues and the corresponding normalized wave functions of the Manning-Rosen potential, the 'standard' Hulthen potential and the generalized Morse potential are briefly studied as special cases. It is observed that our analytical results are the same with the ones obtained before.

Subject Keywords

Diatomic molecular potential, Schrodinger equation, Bound states

URI

https://hdl.handle.net/11511/62636

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-012-0011-0

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Analytical solutions of Schrodinger equation for the diatomic molecular potentials with any angular momentum Akçay, Hüseyin; Sever, Ramazan (2012-08-01) Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.
Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential Ikhdair, Sameer; Sever, Ramazan (2007-03-31) The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigenfunctions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By a proper transformation, this problem is also solved very simply by using the known eigensolutions of anharmonic oscillator potential.
On solutions of the Schrodinger equation for some molecular potentials: wave function ansatz IKHDAİR, SAMEER; Sever, Ramazan (2008-09-01) Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrodinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, delta and nu are also given, where eta depends on a linear combination of the angular momentum quantum number l and the spatial dimensions D and delta is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigenso...
Polynomial solutions of the Mie-type potential in the D-dimensional Schrodinger equation IKHDAİR, SAMEER; Sever, Ramazan (2008-04-30) The polynomial solution of the D-dimensional Schrodinger equation for a special case of Mie potential is obtained with an arbitrary l not equal 0 states. The exact bound state energies and their corresponding wave functions are calculated. The bound state (real) and positive (imaginary) cases are also investigated. In addition, we have simply obtained the results from the solution of the Coulomb potential by an appropriate transformation.
Approximate Analytical Solutions of Dirac Equation with Spin and Pseudo Spin Symmetries for the Diatomic Molecular Potentials Plus a Tensor Term with Any Angular Momentum Akçay, Hüseyin; Sever, Ramazan (2013-11-01) Approximate analytical solutions of the Dirac equation are obtained for some diatomic molecular potentials plus a tensor interaction with spin and pseudospin symmetries with any angular momentum. We find the energy eigenvalue equations in the closed form and the spinor wave functions by using an algebraic method. We also perform numerical calculations for the Poschl-Teller potential to show the effect of the tensor interaction. Our results are consistent with ones obtained before.

Citation Formats

A. Arda and R. Sever, “Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 1920–1930, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62636.