Approximate bound state solutions of Dirac equation with Hulthen potential including Coulomb-like tensor potential

Download

index.pdf

Date

2010-04-01

Author

IKHDAİR, SAMEER
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

175
views

0
downloads

We solve the Dirac equation approximately for the attractive scalar S(r) and repulsive vector V(r) Hulthen potentials including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number kappa. In the framework of the spin and pseudospin symmetric concept, we obtain the analytic energy spectrum and the corresponding two-component upper-and lower-spinors of the two Dirac particles by means of the Nikiforov-Uvarov method in closed form. The limit of zero tensor coupling and the non-relativistic solution are obtained. The energy spectrum for various levels is presented for several kappa values under the condition of exact spin symmetry in the presence or absence of tensor coupling. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.

Subject Keywords

Applied Mathematics, Computational Mathematics

URI

https://hdl.handle.net/11511/62538

Journal

APPLIED MATHEMATICS AND COMPUTATION

DOI

https://doi.org/10.1016/j.amc.2010.01.104

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Monotone positive solutions for a class of second-order nonlinear differential equations Ertem, T.; Zafer, Ağacık (Elsevier BV, 2014-03-15) It is shown that the second-order nonlinear differential equation
A ROBUST ITERATIVE SCHEME FOR SYMMETRIC INDEFINITE SYSTEMS Manguoğlu, Murat (Society for Industrial & Applied Mathematics (SIAM), 2019-01-01) We propose a two-level nested preconditioned iterative scheme for solving sparse linear systems of equations in which the coefficient matrix is symmetric and indefinite with a relatively small number of negative eigenvalues. The proposed scheme consists of an outer minimum residual (MINRES) iteration, preconditioned by an inner conjugate gradient (CG) iteration in which CG can be further preconditioned. The robustness of the proposed scheme is illustrated by solving indefinite linear systems that arise in t...
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes Lefloch, Philippe G.; Okutmuştur, Baver; Neves, Wladimir (Springer Science and Business Media LLC, 2009-07-01) Following Ben-Artzi and LeFloch, we consider nonlinear hyperbolic conservation laws posed on a Riemannian manifold, and we establish an L (1)-error estimate for a class of finite volume schemes allowing for the approximation of entropy solutions to the initial value problem. The error in the L (1) norm is of order h (1/4) at most, where h represents the maximal diameter of elements in the family of geodesic triangulations. The proof relies on a suitable generalization of Cockburn, Coquel, and LeFloch's theo...
Dynamic programming for a Markov-switching jump-diffusion Azevedo, N.; Pinheiro, D.; Weber, Gerhard Wilhelm (Elsevier BV, 2014-09-01) We consider an optimal control problem with a deterministic finite horizon and state variable dynamics given by a Markov-switching jump-diffusion stochastic differential equation. Our main results extend the dynamic programming technique to this larger family of stochastic optimal control problems. More specifically, we provide a detailed proof of Bellman's optimality principle (or dynamic programming principle) and obtain the corresponding Hamilton-Jacobi-Belman equation, which turns out to be a partial in...
A formula for the joint local spectral radius Emel'yanov, EY; Ercan, Z (American Mathematical Society (AMS), 2004-01-01) We give a formula for the joint local spectral radius of a bounded subset of bounded linear operators on a Banach space X in terms of the dual of X.

Citation Formats

S. IKHDAİR and R. Sever, “Approximate bound state solutions of Dirac equation with Hulthen potential including Coulomb-like tensor potential,” APPLIED MATHEMATICS AND COMPUTATION, pp. 911–923, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62538.