EXACT SOLUTIONS OF THE DIRAC EQUATION WITH HARMONIC OSCILLATOR POTENTIAL INCLUDING A COULOMB-LIKE TENSOR POTENTIAL

H. Akcay () and C. Tezcan
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H. Akcay: Baskent University Faculty of Engineering, Ankara, Turkey
C. Tezcan: Baskent University Faculty of Engineering, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 06, 931-940

Abstract: In this work, we study the Dirac equation with scalar, vector, and tensor interactions. The Dirac Hamiltonian contains quadratic scalar and vector potentials, as well as a tensor potential. The tensor potential is taken as a sum of a linear term and a Coulomb-like term. It is shown that the tensor potential preserves the form of the harmonic oscillator potential and generates spin-orbit terms. The energy eigenvalues and the corresponding eigenfunctions are obtained for different alternatives.

Keywords: Dirac equation; tensor potential; pseudospin symmetry; harmonic oscillator; 03.65.Pm; 03.65.Ge; 21.60.Cs (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014084

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