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Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method

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Chinese Physics B 2016年第1期25卷 428-435页

作者： resita arum sari a suparmi c cari Physics Department Sebelas Maret UniversityJ1.Ir.Sutami 36A Kentingan Surakarta 57126Indonesia

The Dirac equation for Eckart potential and trigonometric Manning Rosen potential with exact spin symmetry is obtained using an asymptotic iteration method. The combination of the two potentials is substituted into the Dirac equation, then the variables are separated into radial and angular parts. The Dirac equation is solved by using an asymptotic iteration method that can reduce the second order differential equation into a differential equation with substitution variables of hypergeometry type. The relativistic energy is calculated using Matlab 2011. This study is limited to the case of spin symmetry. With the asymptotic iteration method, the energy spectra of the relativistic equations and equations of orbital quantum number l can be obtained, where both are interrelated between quantum numbers. The energy spectrum is also numerically solved using the Matlab software, where the increase in the radial quantum number nr causes the energy to decrease. The radial part and the angular part of the wave function are defined as hypergeometry functions and visualized with Matlab 2011. The results show that the disturbance of a combination of the Eckart potential and trigonometric Manning Rosen potential can change the radial part and the angular part of the wave function.

关键词： Dirac equation Eckart potential trigonometric Manning Rosen potential spin symmetric

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Approximate analytical solution of the Dirac equation with q-deformed hyperbolic Poschl–Teller potential and trigonometric Scarf II non-central potential

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Chinese Physics B 2015年第3期24卷 48-54页

作者： Ade Kurniawan A.suparmi C.Cari Physics Department Sebelas Maret University

An approximate solution of the Dirac equation for a spin-1/2 particle under the influence of q-deformed hyperbolic P ¨oschl–Teller potential combined with trigonometric Scarf II non-central potential is studied analytically. It is assumed that the scalar potential equals the vector potential in order to obtain analytical solutions. Both radial and angular parts of the Dirac equation are solved using the Nikiforov–Uvarov method. A relativistic energy spectrum and the relation between quantum numbers can be obtained using this method. Several quantum wave functions corresponding to several states are also presented in terms of the Jacobi Polynomials.

关键词： Dirac equation q-deformed hyperbolic function Poschl–Teller potential trigonometric Scarf II potential

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Exact solution of Dirac equation for Scarf potential with new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials

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Chinese Physics B 2014年第9期23卷 71-80页

作者： A.suparmi C.Cari U.A.Deta Physics Department Faculty of Mathematics and Natural ScienceSebelas Maret University Department of Physics Faculty of Mathematics and Natural ScienceState University of Surabaya

The bound state solutions of Dirac equations for a trigonometric Scarf potential with a new tensor potential under spin and pseudospin symmetry limits are investigated using Romanovski polynomials. The proposed new tensor potential is inspired by superpotential form in supersymmetric （SUSY） quantum mechanics. The Dirac equations with trigonometric Scarf potential coupled by a new tensor potential for the pseudospin and spin symmetries reduce to Schrtdinger-type equations with a shape invariant potential since the proposed new tensor potential is similar to the superpotential of trigonometric Scarf potential. The relativistic wave functions are exactly obtained in terms of Romanovski polynomials and the relativistic energy equations are also exactly obtained in the approximation scheme of centrifugal term. The new tensor potential removes the degeneracies both for pseudospin and spin symmetries.

关键词： Scarf potential new tensor potential spin and pseudospin symmetries Romanovski polynomials

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