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The temperature dependent energy, mass and some of thermodynamic quantities of charmonium and bottomonium have been calculated by solving the radial Schr{\"{o}}dinger equation with the extended Cornell potential at finite temperature using…

High Energy Physics - Phenomenology · Physics 2022-04-05 C. Aydın

In this work, the analytical solution of the radial Schr\"{o}dinger equation for the Woods-Saxon potential is presented. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal…

Mathematical Physics · Physics 2015-05-13 V. H. Badalov , H. I. Ahmadov , A. I. Ahmadov

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

In this work, the approximate bound state solutions of the fractional Schr\"odinger equation under a spin-spin-dependent Cornell potential are obtained via the convectional Nikiforov-Uvarov approach. The energy spectra are applied to obtain…

High Energy Physics - Phenomenology · Physics 2023-08-31 M. Abu-Shady , E. Omugbe , E. P. Inyang

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

Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schrodinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential.…

High Energy Physics - Phenomenology · Physics 2019-06-25 M. Abu-Shady , T. A. Abdel-Karim , Sh. Y. Ezz-Alarab

The N-dimensional radial Schr\"odinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been…

High Energy Physics - Phenomenology · Physics 2018-01-23 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

In this work, we obtained analytical bound state solution of the Schr\"odinger equation with Manning Rosen plus exponential Yukawa Potential using parametric Nikiforov-Uvarov method (NU). We obtained the normalized wave function in terms of…

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

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

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

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

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 work, we apply the parametric Nikiforov-Uvarov method to obtain eigen solutions and total normalized wave function of Schr\"odinger equation express in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic…

In this work, the analytical solution of the hyper-radial Schr\"{o}dinger equation for the spherical Woods-Saxon potential in D dimensions is presented. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris…

Mathematical Physics · Physics 2011-11-22 V. H. Badalov , H. I. Ahmadov

In this work, the analytical solutions of the $D$-dimensional Schr\"odinger equation are studied in great detail for the Wood-Saxon potential by taking advantage of the Pekeris approximation. Within a novel improved scheme to surmount…

Quantum Physics · Physics 2018-01-22 V. H. Badalov

A new approximation scheme to the centrifugal term is proposed to obtain the $l\neq 0$ solutions of the Schr\"{o}dinger equation with the Manning-Rosen potential. We also find the corresponding normalized wave functions in terms of the…

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

The analytical solution of the Schr\"{o}dinger equation for the Manning-Rosen potential plus a ring-shaped like potential is obtained by applying the Nikiforov-Uvarov method by using the improved approximation scheme to the centrifugal…

Mathematical Physics · Physics 2015-06-11 H. I. Ahmadov , C. Aydin , N. Sh. Huseynova , O. Uzun

The Schrodinger equation for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states energies. Additionally, the corresponding wave functions are expressed by the Jacobi polynomials. The…

Quantum Physics · Physics 2008-01-29 Sameer M. Ikhdair , Ramazan Sever

The Schr\"{o}dinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schr\"{o}dinger equation into a second order differential equation by using an appropriate coordinate transformation. The…

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