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

doi:10.1088/1674-1056/25/1/010301

中国物理B ›› 2016, Vol. 25 ›› Issue (1): 10301-010301.doi: 10.1088/1674-1056/25/1/010301

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

收稿日期:2015-05-28 修回日期:2015-07-24 出版日期:2016-01-05 发布日期:2016-01-05

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

Received:2015-05-28 Revised:2015-07-24 Online:2016-01-05 Published:2016-01-05

摘要/Abstract

摘要： 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 n_r 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

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 n_r 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.

Key words: Dirac equation, Eckart potential, trigonometric Manning Rosen potential, spin symmetric

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.65.Pm (Relativistic wave equations) 03.65.Db (Functional analytical methods)

Resita Arum Sari, A Suparmi, C Cari. Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method[J]. 中国物理B, 2016, 25(1): 10301-010301.

Resita Arum Sari, A Suparmi, C Cari. Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method[J]. Chin. Phys. B, 2016, 25(1): 10301-010301.

参考文献 20

[1]	Greiner W 2000 Relativistic Quantum Mechanics (Berlin: Springer)
[2]	Hamzavi M and Rajabi A A 2013 Hindawi Publishing Corporation Advances in High Energy Physics 2013 987632
[3]	Ginocchio J N, Leviatan A, Meng J and Zhou S G 2004 Phys. Rev. C 69 3
[4]	Suparmi and Cari 2014 ITB Journal Publisher 46 205
[5]	Suparmi A, Cari C and Angraini L M 2014 AIP Conf. Proc. 1615 111
[6]	Zhou S G, Meng J and Ring P 2003 Phys. Rev. Lett. 91 262501
[7]	Bahar M K and Yasuk F 2012 Chin. Phys. B 22 010301
[8]	Hassanabadi H, Ikot A N and Zarrinkamar S 2014 Acta Phys. Polon. A 126 647
[9]	Bakkeshizadeh S and Vahidi V 2012 Adv. Studies Theor. Phys. 6 733
[10]	Hassanabadi H, Yazarloo B H and Salehi N 2013 Indian J. Phys. 88 405
[11]	Aryanthy V D, Suparmi C and Saraswati I 2013 Seminar Nasional 2nd Lontar Physics Forum 2013
[12]	Ihtiari, Saraswati I, Suparmi and Cari Seminar Nasional 2nd Lontar Physics Forum 2013
[13]	Meyur S and Debnath S 2009 Lat. Am. J. Phys. Educ. 3 300
[14]	Suparmi A, Cari C and Deta U A 2014 Chin. Phys. B 23 090304
[15]	Kurniawan A, Suparmi A and Cari C 2015 Chin. Phys. B 24 030302
[16]	Sameer M I, Babatunde J F and Majid H 2013 Chin. Phys. Lett. 30 020305
[17]	Ikot A N, Hassanabadi H, Obong H P, Umoren Y E C, Isonguyo C N and Yazarloo B H 2014 Chin. Phys. B 23 120303
[18]	Alsadi K S 2014 Chin. Phys. Lett. 31 120301
[19]	Soylu A, Bayrak O and Boztosun I 2008 J. Phys. A: Math. Theor. 41 065308
[20]	Falaye B J, Hamzavi M and Ikhdair S M 2012 arXiv:1207.1218v

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

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

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