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Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method |
Resita Arum Sari, A Suparmi, C Cari |
Physics Department, Sebelas Maret University, Jl. Ir. Sutami 36A Kentingan Surakarta 57126, Indonesia |
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Abstract 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.
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Received: 28 May 2015
Revised: 24 July 2015
Accepted manuscript online:
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PACS:
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03.65.Ge
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(Solutions of wave equations: bound states)
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03.65.Pm
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(Relativistic wave equations)
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03.65.Db
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(Functional analytical methods)
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Cite this article:
Resita Arum Sari, A Suparmi, C Cari Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method 2016 Chin. Phys. B 25 010301
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