Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit

Aydogdu, Oktay; Sever, Ramazan

doi:10.1016/j.aop.2009.10.009

Title: Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit

Full Record
Other Related Research

Abstract

We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term {kappa}. We also investigate the energy eigenvalues of the Dirac particles for the well-known Kratzer-Fues and modified Kratzer potentials which are Mie-type potentials.

Authors:

Aydogdu, Oktay ^[1]; Sever, Ramazan ^[2]

Department of Physics, Mersin University, 33343 Mersin (Turkey)
Department of Physics, Middle East Technical University, 06531 Ankara (Turkey)

Publication Date:: Mon Feb 15 00:00:00 EST 2010

OSTI Identifier:: 21336094

Resource Type:: Journal Article

Journal Name:: Annals of Physics (New York)

Additional Journal Information:: Journal Volume: 325; Journal Issue: 2; Other Information: DOI: 10.1016/j.aop.2009.10.009; PII: S0003-4916(09)00212-7; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; BOUND STATE; DIRAC EQUATION; EIGENVALUES; EXACT SOLUTIONS; L-S COUPLING; POTENTIALS; SPIN; SYMMETRY; WAVE FUNCTIONS

Citation Formats


                    Aydogdu, Oktay, Department of Physics, Middle East Technical University, 06531 Ankara, and Sever, Ramazan. Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit.  United States: N. p., 2010. 
        Web.  doi:10.1016/j.aop.2009.10.009.

Copy to clipboard


                    Aydogdu, Oktay, Department of Physics, Middle East Technical University, 06531 Ankara, & Sever, Ramazan. Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit.  United States.  https://doi.org/10.1016/j.aop.2009.10.009

Copy to clipboard


                    Aydogdu, Oktay, Department of Physics, Middle East Technical University, 06531 Ankara, and Sever, Ramazan. 2010.  
        "Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit".  United States.  https://doi.org/10.1016/j.aop.2009.10.009.

Copy to clipboard


                    
@article{osti_21336094,

  title        = {Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit},

  author       = {Aydogdu, Oktay and Department of Physics, Middle East Technical University, 06531 Ankara and Sever, Ramazan},

  abstractNote = {We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term {kappa}. We also investigate the energy eigenvalues of the Dirac particles for the well-known Kratzer-Fues and modified Kratzer potentials which are Mie-type potentials.},

  doi          = {10.1016/j.aop.2009.10.009},

  url          = {https://www.osti.gov/biblio/21336094},
  journal      = {Annals of Physics (New York)},

  issn         = {0003-4916},

  number       = 2,

  volume       = 325,

  place        = {United States},

  year         = {Mon Feb 15 00:00:00 EST 2010},

  month        = {Mon Feb 15 00:00:00 EST 2010}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1016/j.aop.2009.10.009

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

An approximate {kappa} state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry

Journal Article Ikhdair, Sameer - Journal of Mathematical Physics

By using an improved approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation for the generalized Morse potential with arbitrary spin-orbit quantum number {kappa}. In the presence of spin and pseudospin symmetry, the analytic bound state energy eigenvalues and the associated upper- and lower-spinor components of two Dirac particles are found by using the basic concepts of the Nikiforov-Uvarov method. We study the special cases when {kappa}={+-}1 (l=l-tilde=0, s-wave), the non-relativistic limit and the limit when {alpha} becomes zero (Kratzer potential model). The present solutions are compared with those obtained by other methods.
https://doi.org/10.1063/1.3583553
Effect of tensor interaction in the Dirac-attractive radial problem under pseudospin symmetry limit

Journal Article Hamzavi, M.; Eshghi, M.; Ikhdair, S. - Journal of Mathematical Physics

We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential, including a Coulomb-like tensor interaction under pseudospin symmetry limit for any spin-orbit quantum number {kappa}. By using the parametric generalization of the Nikiforov-Uvarov method, the energy eigenvalues equation and the corresponding wave functions have been obtained in closed forms. Some numerical results are also given. We presented tensor interaction removes degeneracy between two states in pseudospin doublets.
https://doi.org/10.1063/1.4739434
Kappa State Solutions of Dirac-Hulthen and Dirac-Eckart Problems with Pseudospin and Spin Symmetry

Journal Article Soylu, A; Bayrak, O; Boztosun, I - AIP Conference Proceedings

In this study, the analytical solutions of the Dirac equation have been presented for the Hulthen and Eckart potentials by applying an approximation to centrifugal-like term in the case of spin symmetry, {delta}(r) = C = constant, and pseudospin symmetry, {sigma}(r) = C = constant, for any spin-orbit quantum number {kappa}. The energy eigenvalues and corresponding spinor wave functions are obtained in the closed-forms.
https://doi.org/10.1063/1.3039859
An approximate solution of Dirac-Hulthen problem with pseudospin and spin symmetry for any {kappa} state

Journal Article Soylu, A; Bayrak, O; Boztosun, I - Journal of Mathematical Physics

For any spin-orbit quantum number {kappa}, the analytical solutions of the Dirac equation are presented for the Hulthen potential by applying an approximation to spin-orbit coupling potential for the case of spin symmetry, {delta}(r)=C=const, and pseudospin symmetry {sigma}(r)=C=const. The bound state energy eigenvalues and the corresponding spinors are obtained in the closed forms.
https://doi.org/10.1063/1.2768436
Solution of Dirac equation with spin and pseudospin symmetry for an anharmonic oscillator

Journal Article Goudarzi, H; Sohbati, M; Zarrin, S - Journal of Mathematical Physics

We present the exact solutions of Dirac equation with anharmonic oscillator potential using the Nikiforov-Uvarov method. Taking into account potentials of vector field V(r) and scalar field S(r) in Dirac Hamiltonian, the bound state energy eigenvalues and the corresponding upper and lower two-component spinors of fermion are obtained. These solutions are considered in the framework of the spin and pseudospin symmetry concept.
https://doi.org/10.1063/1.3532930

Similar Records