Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Exact Solution of Generalized Woods Saxon Potential in PT Symmetric Quantum Mechanics via Nikiforov Uvarov Method

Cüneyt Berkdemir, Ayşe Berkdemir, R. Sever

Published Oct 20, 2004• 0 citations
OpenAlex

Abstract

We investigate complex PT and non-PT-symmetric forms of the generalized Woods- Saxon potential. We also look for exact solutions of the Schrodinger equation for the PT and/or non-PT-symmetric potentials of the kind mentioned above. Nikiforov-Uvarov method is used to obtain their energy eigenvalues and associated eigenfunctions.

Related papers

Exact Supersymmetric Solution of PT Non PT Symmetric and non Hermitian Generalized Woods Saxon Potential

Cüneyt Berkdemir, Ayşe Berkdemir, R. Sever

Exact Supersymmetric solution of Schrodinger equation is obtained for PT non PT symmetric and non Hermitian generalized Woods Saxon potential to get the real and complex valued energy eigenvalues and the corresponding eigenfunctions for the bound states. Nikiforov Uvarov method is used in the calculations.

arXiv:quant-ph/0410152•Oct 20, 2004•2 citations

Polynomial Solution of PT-/Non-PT-Symmetric and Non-Hermitian Generalized Woods-Saxon Potential via Nikiforov-Uvarov Method

Sameer M. Ikhdair, R. Sever

Using the Nikiforov-Uvarov method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-PT-symmetric and non-Hermitian generalized Woods-Saxon (WS) potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the PT-symmetric quantum mechanics, we exactly solved the time-independent Schrodinger equation with same potential for the s-states and also for any l-state as well. It is shown that the results are in good agreement with the ones obtained before.

arXiv:quant-ph/0507272•Jul 28, 2005•8 citations

Exact solution of the Klein-Gordon equation for the PT-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method

Sameer M. Ikhdair, R. Sever

The exact solution of the one-dimensional Klein-Gordon equation of the 𝒫𝒯-symmetric generalized Woods-Saxon potential is obtained. The exact energy eigenvalues and wavefunctions are derived analytically by using the Nikiforov and Uvarov method. In addition, the positive and negative exact bound states of the s-states are also investigated for different types of complex generalized Woods-Saxon potentials.

arXiv:quant-ph/0610183•Annalen der Physik•Dec 21, 2006•71 citations

EIGENVALUES AND EIGENFUNCTIONS OF WOODS–SAXON POTENTIAL IN PT-SYMMETRIC QUANTUM MECHANICS

Ayşe Berkdemir, Cüneyt Berkdemir, R. Sever

Using the Nikiforov–Uvarov method which is based on solving the second-order differential equations, we firstly analyzed the energy spectra and eigenfunctions of the Woods–Saxon potential. In the framework of the PT-symmetric quantum mechanics, we secondly solved the time-independent Schrödinger equation for the PT and non-PT-symmetric version of the potential. It is shown that the discrete energy eigenvalues of the non-PT-symmetric potential consist of the real and imaginary parts, but the PT-symmetric one has a real spectrum. Results are obtained for s-states only.

arXiv:quant-ph/0410153•Modern Physics Letters A•Sep 7, 2006•32 citations

Exact solution of the Klein‐Gordon equation for the PT‐symmetric generalized Woods‐Saxon potential by the Nikiforov‐Uvarov method

Sameer M. Ikhdair, R. Sever

Abstract The exact solution of the one‐dimensional Klein‐Gordon equation of the 𝒫𝒯‐symmetric generalized Woods‐Saxon potential is obtained. The exact energy eigenvalues and wavefunctions are derived analytically by using the Nikiforov and Uvarov method. In addition, the positive and negative exact bound states of the s‐states are also investigated for different types of complex generalized Woods‐Saxon potentials.

Annalen der Physik•Jan 25, 2007•7 citations

Schr ¨ odinger Equation with Woods-Saxon Plus P ¨ oschl-Teller Potential

Sanjib Meyur, S. Debnath, Rabindra Sarani

The Schr¨ odinger equation is solved for Woods-Saxon plus P¨ Teller potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding eigenfunctions. The PT and non PT -symmetric solu- tions for this potential are presented.

•Jan 1, 2009•1 citation
Using the Nikiforov-Uvarov method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-PT-symmetric and non-Hermitian generalized Woods-Saxon (WS) potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the PT-symmetric quantum mechanics, we exactly solved the time-independent Schrodinger equation with same potential for the s-states and also for any l-state as well. It is shown that the results are in good agreement with the ones obtained before.
Using the Nikiforov–Uvarov method which is based on solving the second-order differential equations, we firstly analyzed the energy spectra and eigenfunctions of the Woods–Saxon potential. In the framework of the PT-symmetric quantum mechanics, we secondly solved the time-independent Schrödinger equation for the PT and non-PT-symmetric version of the potential. It is shown that the discrete energy eigenvalues of the non-PT-symmetric potential consist of the real and imaginary parts, but the PT-symmetric one has a real spectrum. Results are obtained for s-states only.