ALGEBRAIC APPROACH TO SPIN SYMMETRY FOR THE DIRAC EQUATION WITH THE TRIGONOMETRIC SCARF POTENTIAL-Reference-Cited by-同舟云学术

ALGEBRAIC APPROACH TO SPIN SYMMETRY FOR THE DIRAC EQUATION WITH THE TRIGONOMETRIC SCARF POTENTIAL

Published:2010-03-30 Issue:08 Volume:25 Page:1649-1659
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

WEI GAO-FENG¹,DUAN XIAO-YONG²,LIU XU-YANG³

Affiliation:

1. Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, People's Republic of China

2. College of Electromechanical Engineering, Jiaxing University, Jiaxing 314001, People's Republic of China

3. School of Physics, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand

Abstract

By a simple algebraic approach we study the exact solution to the Dirac equation with scalar and vector trigonometric Scarf potentials in the case of spin symmetry. The transcendental energy equation and spinor wave functions are presented. It is found that there exist only positive energy bound states in the case of spin symmetry. Also, the energy eigenvalue approaches a constant when the potential parameter α goes to zero. The equally scalar and vector case is studied briefly.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X10048287

Reference25 articles.

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