Pseudospin symmetry solution of the Dirac equation with an angle-dependent potential

Date

2008-02-01

Author

Berkdemir, Cueneyt
Sever, Ramazan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

221
views

0
downloads

The pseudospin symmetry solution of the Dirac equation for spin 1/2 particles moving within the Kratzer potential connected with an angle-dependent potential is investigated systematically. The Nikiforov-Uvarov method is used to solve the Dirac equation. All of the studies are performed for the exact pseudospin symmetry (SU2) case and also the exact spin symmetry case is given briefly in the appendix. Bound-state solutions are presented to discuss the contribution of the angle-dependent potential to the relativistic energy spectra in the full description case which is either unavailable or excessively complicated.

Subject Keywords

Modelling and Simulation, Statistics and Probability, Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/62487

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

DOI

https://doi.org/10.1088/1751-8113/41/4/045302

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Two approximation schemes to the bound states of the Dirac-Hulthen problem IKHDAİR, SAMEER; Sever, Ramazan (IOP Publishing, 2011-09-02) The bound-state (energy spectrum and two-spinor wavefunctions) solutions of the Dirac equation with the Hulthen potential for all angular momenta based on the spin and pseudospin symmetry are obtained. The parametric generalization of the Nikiforov-Uvarov method is used in the calculations. The orbital dependence (spin-orbit-and pseudospin-orbit-dependent coupling too singular 1/r(2)) of the Dirac equation are included to the solution by introducing a more accurate approximation scheme to deal with the cent...
Exact solutions for vibrational levels of the Morse potential Taşeli, Hasan (IOP Publishing, 1998-01-16) The vibrational levels of diatomic molecules via Morse potentials are studied by means of the system confined in a spherical box of radius l, II is shown that there exists a critical radius l(cr),, at which the spectrum of the usual unbounded system can be calculated to any desired accuracy. The results are compared with those of Morse's classical solution which is based on the assumption that the domain of the internuclear distance r includes the unphysical region (-infinity, 0). By determining numerically...
Green's matrix for a second-order self-adjoint matrix differential operator Sisman, Tahsin Cagri; Tekin, Bayram (IOP Publishing, 2010-03-26) A systematic construction of the Green's matrix for a second-order self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out. We follow the general approach of extracting the Green's matrix from the Green's matrix of the corresponding first-order system. This construction is required in the cases where the differential equation set cannot be turned to an algebraic equation set via transform techniques.
Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit Aydogdu, Oktay; Sever, Ramazan (Elsevier BV, 2010-02-01) 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 K. We also investigate the energ...
Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential, Wei-Hua Potential, Varshni Potential Arda, Altug; Sever, Ramazan (Walter de Gruyter GmbH, 2014-03-01) Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, the Wei-Hua potential, and the Varshni potential with any K-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n, K).

Citation Formats

C. Berkdemir and R. Sever, “Pseudospin symmetry solution of the Dirac equation with an angle-dependent potential,” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, pp. 0–0, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62487.