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

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.

Keywords: Dirac equation q-deformed hyperbolic function Pöschl-Teller potential trigonometric Scarf Ⅱ potential

Received: 04 August 2014
Revised: 17 October 2014
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Pm	(Relativistic wave equations)
	03.65.Db	(Functional analytical methods)

Corresponding Authors: Ade Kurniawan
E-mail: adekoerniawanzz92@gmail.com

Cite this article:

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 2015 Chin. Phys. B 24 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

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