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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

Bound states of the Dirac equation with position-dependent mass for the eckart potential

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Chinese Physics B 2013年第1期22卷 62-67页

作者： Bahar M. K. Yasuk F. Department of Physics Erciyes University Department of Physics Karamanoglu Mehmetbey University

Studying with the asymptotic iteration method, we present approximate solutions of the Dirac equation for the eckart potential in the case of position-dependent mass. The centrifugal term is approximated by an exponen... 详细信息

关键词： Dirac equation position-dependent mass eckart potential asymptotic iteration method

Approximate solutions of Schrdinger equation for eckart potential with centrifugal term

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Chinese Physics B 2010年第9期19卷 155-160页

作者： F. Taskin G. Koak Department of Physics Erciyes University

The approximate analytical solutions of the Schrodinger equation for the eckart potential are presented for the arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave, ξ= λ=1, and β=0, are investigated.

关键词： Schrodinger equation eckart potential bound state

Unified treatment of the bound states of the Schioberg and the eckart potentials using Feynman path integral approach

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Chinese Physics B 2015年第2期24卷 39-45页

作者： A.Diaf Laboratoire de l'nergie et des Systemes Intelligents Université de Khemis Miliana

We obtain analytical expressions for the energy eigenvalues of both the Schioberg and eckart potentials using an approximation of the centrifugal term. In order to determine the l-states solutions, we use the Feynman path integral approach to quantum mechanics. We show that by performing nonlinear space-time transformations in the radial path integral, we can derive a transformation formula that relates the original path integral to the Green function of a new quantum solvable system. The explicit expression of bound state energy is obtained and the associated eigenfunctions are given in terms of hypergeometric functions. We show that the eckart potential can be derived from the Schioberg potential. The obtained results are compared to those produced by other methods and are found to be consistent.

关键词： path integrals l-states Schioberg potential eckart potential

Relativistic symmetries of Deng Fan and eckart potentials with Coulomb-like and Yukawa-like tensor interactions

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Chinese Physics B 2014年第10期23卷 45-55页

作者： Akpan N.Ikot S.Zarrinkamar B.H.Yazarloo H.Hassanabadi Theoretical Physics Group Department of Physics University of Port Harcourt Choba PMB 5323 Port Harcourt Nigeria Department of Basic Sciences Garmsar Branch Islamic Azad University Garmsar Iran Department of Basic Sciences Shahrood Branch Islamic Azad University Shahrood Iran

Relativistic symmetries of the Dirac equation under spin and pseudo-spin symmetries are investigated and a combina- tion of Deng-Fan and eckart potentials with Coulomb-like and Yukawa-like tensor interaction terms are considered. The energy equation is obtained by using the Nikiforov-Uvarov method and the corresponding wave functions are expressed in terms of the hypergeometric functions. The effects of the Coulomb and Yukawa tensor interactions are numerically discussed as well.

关键词： Deng-Fan potential eckart potential Nikiforov-Uvarov method spin and pseudo-spin symme-tries