Author
Ali Akbar Rajabi
Other affiliations: Islamic Azad University
Bio: Ali Akbar Rajabi is an academic researcher from University of Shahrood. The author has contributed to research in topics: Dirac equation & Schrödinger equation. The author has an hindex of 24, co-authored 166 publications receiving 1942 citations. Previous affiliations of Ali Akbar Rajabi include Islamic Azad University.
Papers published on a yearly basis
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TL;DR: In this paper, a tensor potential is brought into a well-known form of Schrodinger-like problem possessing known solutions via the methodology of supersymmetry (SUSY).
105 citations
TL;DR: In this paper, the Dirac equation was exactly solved for spatially-dependent mass Coulomb potential including a Coulomb-like tensor potential under pseudospin symmetry limit by using asymptotic iteration method with arbitrary spin-orbit coupling number κ.
99 citations
TL;DR: In this article, the D-dimensional Schrodinger equation for an energy-dependent Hamiltonian was studied and the corresponding eigenfunctions and eigenvalues were derived via the Nikiforov-Uvarov (NU) method.
Abstract: We study the D-dimensional Schrodinger equation for an energy-dependent Hamiltonian that linearly depends on energy and quadratically on the relative distance. Next, via the Nikiforov—Uvarov (NU) method, we calculate the corresponding eigenfunctions and eigenvalues.
98 citations
TL;DR: In this article, the generalized parametric Nikiforov-Uvarov method was used to obtain approximate analytical solutions of the radial Schrodinger equation for the Yukawa potential, and the energy eigenvalues and corresponding eigenfunctions were calculated in closed forms.
Abstract: The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov method, we obtain approximate analytical solutions of the radial Schrodinger equation for the Yukawa potential. The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and show that these results are in good agreement with those obtained previously by other methods. Also, we find the energy levels of the familiar pure Coulomb potential energy levels when the screening parameter of the Yukawa potential goes to zero.
76 citations
TL;DR: In this article, approximate analytical solutions of a Duffin-Kemmer-Petiau (DKP) equation are obtained via an elegant ansatz after successive transformations, which is particularly relevant for the Coulomb interaction.
Abstract: Approximate analytical solutions of a Duffin-Kemmer-Petiau (DKP) equation are obtained via an elegant ansatz after successive transformations. Apart from the wide application of the DKP equation in both cosmology and theoretical nuclear physics as well as the physical significance of the Coulomb interaction, this is particularly important as we have provided a solution to the corresponding Heun equation.
75 citations
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TL;DR: In this paper, an asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x), y is introduced.
Abstract: An asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x) y is introduced, where lambda(x)
eq 0 and s(x) are C-infinity functions. Applications to Schroedinger type problems, including some with highly singular potentials, are presented.
415 citations
TL;DR: Cheng and Li as discussed by the authors present a summary of gauge theories in particle physics, intended for advanced graduate students and research workers in the field, presupposing both a knowledge of elementary particle phenomenology and of quantum field theory at the level taught in first-year postgraduate lecture courses.
Abstract: Ta-Pei Cheng and Ling-Fong Li 1984 Clarendon Press: Oxford University Press xi + 536 pp price £35 (£15 paperback) ISBN 0 19 851956 7 Hdbk, 0 19 851961 3Pbk This book is an excellent summary of gauge theories in particle physics, intended for advanced graduate students and research workers in the field. It presupposes both a knowledge of elementary particle phenomenology and of quantum field theory at the level taught in first-year postgraduate lecture courses.
346 citations
TL;DR: In this article, the authors investigated the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method.
Abstract: We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an appropriate approximation to deal with the centrifugal term, the Dirac energy states and the corresponding normalized two-spinor components of the wave function are obtained in closed form. Some special cases of our solution are investigated. Furthermore, we present the correct solutions obtained via the asymptotic iteration method which are in agreement with the parametric Nikiforov-Uvarov method results.
322 citations
TL;DR: Recently, the pseudospin symmetry (PSS) was recognized as a relativistic symmetry in atomic nuclei and many new concepts have been introduced as mentioned in this paper, including the spin symmetry (SS) for anti-nucleon.
271 citations
01 Jan 2000
TL;DR: An evaluation of A = 16{17 was published in Nuclear Physics A565 (1993), p. 1. This version of A=16 has been slightly revised as of May 16,200 0t oinclud e hyperlink sfo r reference tables.
Abstract: An evaluation of A = 16{17 was published in Nuclear Physics A565 (1993), p. 1. This version of A = 16 diers from the published version in that we have corrected some errors discovered after the article went to press. It has also been slightly revised as of May 16 ,200 0t oinclud ehyperlink sfo rreference san dtables. Introductor ytables have been omitted from this manuscript. Also, Reference key numbers have been changed to the NNDC/TUNL format.
266 citations