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The exact solutions of Schrodinger equation are obtained for a noncentral potential which is a ring-shaped potential. The energy eigenvalues and corresponding eigenfunctions are obtained for any angular momentum l. Nikiforov-Uvarov method…

Quantum Physics · Physics 2007-05-23 Ozlem Yesiltas , Ramazan sever

Effective mass Schrodinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave…

Quantum Physics · Physics 2019-12-06 Cevdet Tezcan , Ramazan Sever , Ozlem Yesiltas

The general solutions of Schrodinger equation for non central potential are obtained by using Nikiforov Uvarov method. The Schrodinger equation with general non central potential is separated into radial and angular parts and energy…

Quantum Physics · Physics 2009-11-10 F. Yasuk , C. Berkdemir , A. Berkdemir

Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are…

Quantum Physics · Physics 2008-11-26 Cevdet Tezcan , Metin Aktas , Ozlem Yesiltas Ramazan Sever

Exact bound state solutions of the Schrodinger equation for generalized noncentral potential are examined by means of the Nikiforov-Uvarov method. The wavefunctions and the corresponding energy eigenvalues of the system are obtained…

Quantum Physics · Physics 2009-07-10 Metin Aktas

Exact solution of the Schrodinger equation with deformed ring shaped potential is obtained in the parabolic and spherical coordinates. The Nikiforov-Uvarov method is used in the solution. Eigenfunctions and corresponding energy eigenvalues…

Quantum Physics · Physics 2007-05-23 Metin Aktas , Ramazan Sever

A general form of the effective mass Schrodinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the…

Quantum Physics · Physics 2010-05-04 Ramazan Sever , Cevdet Tezcan , Ozlem Yesiltas , Mahmut Bucurgat

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 Schr\"{o}dinger equation with the central potential is first studied in the arbitrary dimensional spaces and obtained an analogy of the two-dimensional Schr\"{o}dinger equation for the radial wave function through a simple…

Quantum Physics · Physics 2007-05-23 Shi-Hai Dong , Zhong-Qi Ma

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 paper, the Schrodinger equation for s-wave and arbitrary angular momenta with the Modified Mobuis Square potential is investigated respectively. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical…

Quantum Physics · Physics 2020-12-22 C. M. Ekpo , J. E. Osang , E. B. Ettah

Exact solution of Schrodinger equation for the Mie potential is obtained for an arbitrary angular momentum. The energy eigenvalues and the corresponding wavefunctions are calculated by the use of the Nikiforov-Uvarov method. Wavefunctions…

Quantum Physics · Physics 2008-01-28 Ramazan Sever , Mahmut Bucurgat , Cevdet Tezcan , Ozlem Yesiltas

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

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…

Mathematical Physics · Physics 2012-09-19 Huseyin Akcay , Ramazan Sever

By applying an ansatz to the eigenfunction, an exact closed form solution of the Schr\"{o}dinger equation in 2D is obtained with the potentials, $V(r)=ar^2+br^4+cr^6$, $V(r)=ar+br^2+cr^{-1}$ and $V(r)=ar^2+br^{-2}+cr^{-4}+dr^{-6}$,…

Quantum Physics · Physics 2007-05-23 Shi-Hai Dong

The extended Cornell potential which the harmonic oscillator potential is included in the original Cornell potential. The Dirac equation is solved by reducing the Dirac equation to the form of Schrodinger equation. The Nikiforov-Uvarov…

Quantum Physics · Physics 2015-07-19 M. Abu-Shady

In this paper, we solve analytically the Schrodinger equation for s-wave and arbitrary angular momenta with the Hua potential is investigated respectively. The wave function as well as energy equation are obtained in an exact analytical…

Quantum Physics · Physics 2020-12-23 C. M. Ekpo , E. B. Ettah

We present analytically the exact energy bound-states solutions of the Schrodinger equation in $D$-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form $V(r,\theta)=D_{e}(\frac{r}{% r_{e}}-\frac{r_{e}}{r})…

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

Recently developed simple approach for the exact/approximate solution of Schrodinger equations with constant/position-dependent mass, in which the potential is considered as in the perturbation theory, is shown to be equivalent to the one…

Quantum Physics · Physics 2007-05-23 B. Gonul , K. Koksal

Exact solution of the Dirac equation for a special form of the Woods-Saxon potential is obtained for the s-states. The energy eigenvalues and two-component spinor wave functions are derived by using a systematical method which is called as…

Nuclear Theory · Physics 2009-11-11 Cuneyt Berkdemir , Ayse Berkdemir , Ramazan Sever
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