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

doi:10.1088/1674-1056/24/3/030302

›› 2015, Vol. 24 ›› Issue (3): 30302-030302.doi: 10.1088/1674-1056/24/3/030302

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

Ade Kurniawan, A. Suparmi, C. Cari

Physics Department, Sebelas Maret University, Jl. Ir. Sutami 36A Kentingan Surakarta 57126, Indonesia

收稿日期:2014-08-04 修回日期:2014-10-17 出版日期:2015-03-05 发布日期:2015-03-05

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

Ade Kurniawan, A. Suparmi, C. Cari

Physics Department, Sebelas Maret University, Jl. Ir. Sutami 36A Kentingan Surakarta 57126, Indonesia

Received:2014-08-04 Revised:2014-10-17 Online:2015-03-05 Published:2015-03-05
Contact: Ade Kurniawan E-mail:adekoerniawanzz92@gmail.com

摘要/Abstract

摘要： An approximate solution of the Dirac equation for a spin-1/2 particle under the influence of q-deformed hyperbolic Pöschl-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, Pö, schl-Teller potential, trigonometric Scarf Ⅱ potential

Abstract: An approximate solution of the Dirac equation for a spin-1/2 particle under the influence of q-deformed hyperbolic Pöschl-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.

Key words: Dirac equation, q-deformed hyperbolic function, Pöschl-Teller potential, trigonometric Scarf Ⅱ potential

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)

Ade Kurniawan, A. Suparmi, C. Cari. Approximate analytical solution of the Dirac equation with q-deformed hyperbolic Pöschl-Teller potential and trigonometric Scarf Ⅱ non-central potential[J]. , 2015, 24(3): 30302-030302.

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

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

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