Exact Solutions of Effective Mass Dirac Equation with Non-PT-Symmetric and Non-Hermitian Exponential-type Potentials

Download

index.pdf

Date

2009-09-01

Author

Arda, Altug
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

225
views

71
downloads

By using a two-component approach to the one-dimensional effective mass Dirac equation, bound states are investigated under the effect of two new non-PT-symmetric and non-Hermitian exponential type potentials. It is observed that the Dirac equation can be mapped into a Schrodinger-like equation by rescaling one of the two Dirac wave functions in the case of the position-dependent mass. The energy levels and the corresponding Dirac eigenfunctions are found analytically.

Subject Keywords

Hamiltonians, Eudo-hermiticity, Real, PsPseudo-hermiticity

URI

https://hdl.handle.net/11511/62415

Journal

CHINESE PHYSICS LETTERS

DOI

https://doi.org/10.1088/0256-307x/26/9/090305

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential AYDOĞDU, OKTAY; Sever, Ramazan (Springer Science and Business Media LLC, 2010-04-01) Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin-orbit coupling quantum number kappa. The energy eigenvalue equation of the Dirac particles is found and the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. We investigate the tensor potential dependence of the energy of the each state in the pseudospin doublet. It is shown that degeneracy b...
Exact Solutions of Effective-Mass Dirac-Pauli Equation with an Electromagnetic Field Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2017-01-01) The exact bound state solutions of the Dirac-Pauli equation are studied for an appropriate position-dependent mass function by using the Nikiforov-Uvarov method. For a central electric field having a shifted inverse linear term, all two kinds of solutions for bound states are obtained in closed forms.
EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRODINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2009-03-01) The point canonical transformation (PCT) approach is used to solve the Schrodinger equation for an arbitrary dimension D with a power-law position-dependent effective mass (PDEM) distribution function for the pseudoharmonic and modified Kratzer (Mie-type) diatomic molecular potentials. In mapping the transformed exactly solvable D-dimensional (D >= 2) Schrodinger equation with constant mass into the effective mass equation by using a proper transformation, the exact bound state solutions including the energ...
Exact polynomial solution of PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method Ikhdair, Sameer M.; Sever, Ramazan (Springer Science and Business Media LLC, 2007-06-01) UUsing the Nikiforov-Uvarov ( NU) method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon (WS) model 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 w...
On Solving the Forward Kinematics of the 6-6 General Parallel Manipulator with an Efficient Evolutionary Algorithm Rolland, Luc; Chandra, Rohitash (2010-07-08) The G3-PCX genetic algorithm is compared with hybrid meta-heuristic approaches for solving the forward kinematics problem of the 6-6 general parallel manipulator. The G3-PCX shows improvements in terms of accuracy, response time and reliability. Several experiments confirm solving the given problem in less than 1 second. It also reports all the 16 unique real solutions which are verified by an exact algebraic method. This opens the way to simulation and certification applications.

Citation Formats

A. Arda and R. Sever, “Exact Solutions of Effective Mass Dirac Equation with Non-PT-Symmetric and Non-Hermitian Exponential-type Potentials,” CHINESE PHYSICS LETTERS, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62415.