APPROACH TO THE SHIFTED 1/N EXPANSION FOR SPIN-1/2 RELATIVISTIC PARTICLE

Date

1993-01-01

Author

MUSTAFA, O
Sever, Ramazan

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A different approach to the shifted 1/N expansion method is developed to deal with the Dirac particle trapped in a spherically symmetric potential. The main aspects of our approach are to expand the energy term in a perturbative form and to determine the parameters involved without any approximation. While the formalism is developed for spin-1/2 particles in any spherically symmetric potential, it is applied to the Coulomb case for testing. The calculations are carried out to the third-order correction of the energy eigenvalue series.

Subject Keywords

Vector, States, Eigenvalues, Eigenenergies, Scalar potentials, Energy-levels, dirac-equation, Screened coulomb potentials, Klein-gordon equation, Large-n expansion

URI

https://hdl.handle.net/11511/62553

Journal

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER

DOI

https://doi.org/10.1016/0022-4073(93)90018-d

Collections

Department of Physics, Article

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APPROACH TO THE SHIFTED 1/N EXPANSION FOR THE KLEIN-GORDON EQUATION MUSTAFA, O; Sever, Ramazan (1991-06-01) A different approach to the shifted 1/N expansion technique is developed to deal with the Klein-Gordon particle trapped in a spherically symmetric potential. Properly modifying the definition of the perturbative expansion of the energy eigenvalue, and without making any approximation in the determination of the parameters involved, we obtain sufficiently good results compared with the exact ones for the Coulomb problem. The calculations are carried out to the second-order correction of the energy series.
SHIFTED 1/N EXPANSION FOR THE KLEIN-GORDON EQUATION WITH VECTOR AND SCALAR POTENTIALS MUSTAFA, O; Sever, Ramazan (1991-10-01) The shifted 1/N expansion method has been extended to solve the Klein-Gordon equation with both scalar and vector potentials. The calculations are carried out to the third-order correction in the energy series. The analytical results are applied to a linear scalar potential to obtain the relativistic energy eigenvalues. Our numerical results are compared with those obtained by Gunion and Li [Phys. Rev. D 12, 3583 (1975)].
Approximate Solutions of Dirac Equation with Hyperbolic-Type Potential Arda, Altug; Sever, Ramazan (2015-09-01) The energy eigenvalues of a Dirac particle for the hyperbolic-type potential field have been computed approximately. It is obtained a transcendental function of energy, F(E), by writing in terms of confluent Heun functions. The numerical values of energy are then obtained by fixing the zeros on "E-axis" for both complex functions Re[F(E)] and Im[F(E)].
Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions Okorie, Uduakobong S.; Ikot, Akpan N.; Edet, C. O.; Akpan, I. O.; Sever, Ramazan; Rampho, R. (2019-09-01) We solve the D- dimensional Klein-Gordon equation with a newly proposed generalized hyperbolic potential model, under the condition of equal scalar and vector potentials. The relativistic bound state energy equation has been obtained via the functional analysis method. We obtained the relativistic and non-relativistic ro-vibrational energy spectra for different diatomic molecules. The numerical results for these diatomic molecules tend to portray inter-dimensional degeneracy symmetry. Variations of the ener...
Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential IKHDAİR, SAMEER; Sever, Ramazan (2010-03-15) We study the effect of spatially-dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3 + 1)-dimensions for any arbitrary spin-orbit kappa state. In the framework of the spin and pseudospin symmetry concept, the analytic bound state energy eigenvalues and the corresponding upper and lower two-component spinors of the two Dirac particles are obtained by means of the Nikiforov-Uvarov method, in closed form. This physical choice of the mass function leads to an exa...

Citation Formats

O. MUSTAFA and R. Sever, “APPROACH TO THE SHIFTED 1/N EXPANSION FOR SPIN-1/2 RELATIVISTIC PARTICLE,” JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, pp. 65–69, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62553.