International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

The Dirac equation with position-dependent mass for the modified Pöschl-Teller potential and its solution

Yasuk, F.1* and Bahar, M. K.1,2
1Deparment of Physics, Erciyes University, 38039, Kayseri, Turkey. 2Department of Physics, Karamanoglu Mehmetbey University, 70100, Karaman, Turkey.
Email: [email protected]

  •  Accepted: 05 November 2012
  •  Published: 30 November 2012

Abstract

The Dirac-modified Pöschl-Teller problem with position dependent mass is investigated within the framework of the asymptotic iteration method in N dimensions. Any -state solutions are obtained by using the exponential approximation for the centrifugal term. The energy eigenvalues and two-component spinor corresponding eigenfunctions are determined for different  screening parameters explicitly. The corresponding eigenfunctions obtained in the form of hypergeometric functions are normalized and plotted for different quantum states. Effects on modified Pöschl-Teller potential, bound state energy eigenvalues and normalized corresponding eigenfunctions of the  screening parameters are investigated and its results are discussed. 

 

Key words: Dirac equation, position-dependent mass (PDM), Pöschl-Teller (PT) potential, asymptotic iteration method, bound state.

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