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The analytic solutions of the spatially-dependent mass Schrodinger equation of diatomic molecules with the centrifugal term l(l+1)/r2 for the generalized q-deformed Morse potential are obtained approximately by means of a parametric…

Quantum Physics · Physics 2015-05-13 Sameer Ikhdair

We obtain the bound-state solutions of the radial Schr\"odinger equation (SE) with the shifted Deng-Fan (sDF) oscillator potential in the frame of the Nikiforov-Uvarov (NU) method and employing Pekeris-type approximation to deal with the…

Quantum Physics · Physics 2013-01-04 Majid Hamzavi , Sameer M. Ikhdair , Karl-Erik Thylwe

The effective mass one-dimensional Schr\"odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also…

Mathematical Physics · Physics 2011-06-29 Altug Arda , Ramazan Sever

In this study, we obtain the approximate analytical solutions of the radial Schrodinger equation for the New Generalized Morse-Like Potential in arbitrary dimensions by using the Nikiforov Uvarov Method. Energy eigenvalues and corresponding…

Quantum Physics · Physics 2020-12-07 C. M. Ekpo , Ephraim P. Inyang , P. O. Okoi , T. O. Magu , E. P. Agbo , K O Okorie , Etido P. Inyang

The radial time-independent Schr\"odinger equation is solved for the diatomic molecules: H2, LiH, HCl, CO, VH, CrH, CuLi, TiC, NiC, and ScN using the recently developed Nikiforov-Uvarov Functional Analysis (NUFA) method. A modified Morse…

Chemical Physics · Physics 2024-10-01 Raghav Sharma , Pragati Ashdhir , Amit Tanwar

We solve the parametric generalized effective Schr\"odinger equation with a specific choice of posi-tion-dependent mass function and Morse oscillator potential by means of the Nikiforov-Uvarov (NU) method combined with the Pekeris…

Quantum Physics · Physics 2012-07-20 Sameer M. Ikhdair

We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for a recently proposed modified Kratzer potential plus ring-shaped potential by means of the conventional Nikiforov-Uvarov method.…

Quantum Physics · Physics 2009-11-13 Sameer M. Ikhdair , Ramazan Sever

We investigate the analytical solution of a new exactly solvable non-central potential of $V(r,\theta) = D({\frac{r - a}{r}})^2+{\frac{\beta}{r^2\sin^2 \theta}}+{\frac{\gamma \cos \theta}{r^2\sin^2 \theta}}$ type, which may be called as the…

Quantum Physics · Physics 2009-09-29 F. Yasuk , I. Boztosun , A. Durmus

The Schr\"odinger equation for diatomic molecules in deSitter and anti-deSitter spaces is studied using the extended uncertainty principle formulation. The equations are solved by the Nikiforov-Uvarov method for both the Kratzer potential…

Mathematical Physics · Physics 2024-05-08 Meriem AbdelAziz , Mustafa Moumni , Mokhtar Falek

In this study, we apply the parametric Nikiforov-Uvarov method to obtain the bound state solution of Schrodinger wave equation in the presence of Kratzer plus generalized Morse potential (KPGM). The energy eigen equation and the…

This paper presents the exact ground state solution for a diatomic particle system with position-dependent complex mass under action of a complex Morse potential in the quantum domain. By solving the position-dependent Schr\"odinger…

Quantum Physics · Physics 2025-12-24 Partha Sarathi , Bhaskar Singh Rawat

We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for an alternative (often used) pseudo-Coulomb potential-plus- ring-shaped potential of the form $V(r)=-%…

Quantum Physics · Physics 2008-07-15 Sameer M. Ikhdair , Ramazan Sever

Exact bound state solutions and the corresponding wave functions of the Schr\"odinger equation for some non-central potentials including Makarov potential, modified-Kratzer plus a ring-shaped potential, double ring-shaped Kratzer potential,…

Mathematical Physics · Physics 2012-05-09 Altug Arda , Ramazan Sever

For non-zero $\ell$ values, we present an analytical solution of the radial Schr\"{o}dinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the Asymptotic Iteration Method. The bound state…

Nuclear Theory · Physics 2008-11-26 O. Bayrak , I. Boztosun

Exact solutions of Schrodinger equation are obtained for the modified Kratzer and the corrected Morse potentials with the position-dependent effective mass. The bound state energy eigenvalues and the corresponding eigenfunctions are…

Quantum Physics · Physics 2009-11-13 Ramazan Sever , Cevdet Tezcan

The Nikiforov-Uvarov method is employed to calculate the the Schrodinger equation with a rotation Morse potential. The bound state energy eigenvalues and the corresponding eigenfunction are obtained. All of these calculation present an…

Quantum Physics · Physics 2015-06-26 Cuneyt Berkdemir , Jiaguang Han

We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary -…

Mathematical Physics · Physics 2015-05-30 Akpan N. Ikot , Oladunjoye A. Awoga , Louis E. Akpabio , Benedict I. Ita

The approximate analytical bound state solution of the Schr\"odinger equation for the Manning-Rosen potential is carried out by taking a new approximation scheme to the orbital centrifugal term. The Nikiforov-Uvarov method is used in the…

Quantum Physics · Physics 2012-03-14 Sameer M. Ikhdair

We suggest a new deformed Schioberg-type potential for diatomic molecules. We show that it is equivalent to Tietz-Hua oscillator potential. We discuss how to relate our deformed Schi\"oberg potential to Morse, to Deng-Fan , to the improved…

Mathematical Physics · Physics 2015-05-25 Omar Mustafa

In this work, we used a tool of conventional Nikiforov-Uvarov method to determine bound state solution of Schrodinger equation with quantum interaction potential called Hulthen-Yukawa inversely quadratic potential (HYIQP). We obtained the…

Quantum Physics · Physics 2017-02-15 Ituen B. Okon , Oyebola Popoola , Cecilia N. Isonguyo
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