Dirac Equation with Mixed Scalar–Vector–Pseudoscalar Linear Potential under Relativistic Symmetries

Author:

Tokmehdashi Hadi1,Rajabi Ali Akbar1,Hamzavi Majid2

Affiliation:

1. Department of Physics, Shahrood University of Technology, Shahrood, Iran

2. Department of Physics, University of Zanjan, Zanjan, Iran

Abstract

Abstract In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation, which describes the motion of a spin-1/2 particle in 1+1 dimensions for mixed scalar–vector–pseudoscalar linear potential are investigated. The Nikiforov–Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Reference58 articles.

1. L. I. Schiff, Quantum Mechanics, (3rd ed.), McGraw–Hill, New York 1955.

2. P. A. Dirac, The Principles of Quantum Mechanics, (4th ed.), Oxford Univ. Press, Oxford, UK 1958.

3. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory, (3rd ed.), Pergamon Press, Oxford, UK 1977.

4. W. Greiner, Quantum Mechanics an Introduction, Springer-Verlag, Berlin 1989.

5. O. Haxel, J. H. D. Jensen, and H. E. Suess, Phys. Rev. 75, 1766 (1949).

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