Energy Eigenvalue of Hulthen Potential Using Nikiforov-Uvarov and Asymptotic Iterative Method of Hydrogen and Hydrogen-Like Atom
Open Access
- 1 January 2022
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in Open Journal of Microphysics
- Vol. 12 (01), 31-46
- https://doi.org/10.4236/ojm.2022.121002
Abstract
The objective of this work is to calculate and compare the energy eigenvalue of Hulthen Potential using the NU method and AIM method. Using these two methods the energy eigenvalue calculated from the NU method is less than AIM method. Moreover, the energy eigenvalue calculated from both methods is charge independent and only depends upon the quantum numbers and screening parameters, while the third term of energy eigenvalue calculated using the NU method is only dependent on screening parameters.Keywords
This publication has 20 references indexed in Scilit:
- Solutions of the Duffin—Kemmer—Petiau equation in the presence of Hulthén potential in (1+2) dimensions for unity spin particles using the asymptotic iteration methodChinese Physics B, 2013
- Generation of Exactly Solvable Potentials of Position-Dependent Mass Schrödinger Equation from Hulthen PotentialJournal of Modern Physics, 2013
- A new Coulomb ring-shaped potential via generalized parametric Nikiforov-Uvarov methodJournal of Theoretical and Applied Physics, 2013
- Approximate analytical solutions for arbitrary l-state of the Hulthén potential with an improved approximation of the centrifugal termOpen Chemistry, 2011
- AN ALTERNATIVE ACCURATE SOLUTION OF THE EXPONENTIAL COSINE SCREENED COULOMB POTENTIALInternational Journal of Modern Physics C, 2007
- Bound state solutions of the Hulthén potential by using the asymptotic iteration methodPhysica Scripta, 2007
- Anyl-state solutions of the Hulthén potential by the asymptotic iteration methodJournal of Physics A: General Physics, 2006
- Approximate Eigenvalue and Eigenfunction Solutions for the Generalized Hulthén Potential with any Angular MomentumJournal of Mathematical Chemistry, 2006
- Bound state solutions of the Schrödinger equation for modified Kratzer’s molecular potentialChemical Physics Letters, 2006
- Hamiltonian hierarchy and the Hulthén potentialPhysics Letters A, 2000