The Dirac oscillator with a Coulomb-like tensor potential. (English) Zbl 1113.81029

Summary: We study the Dirac equation with a tensor potential which contains a term linear in \(r\) and a Coulomb-like term. The eigenstates and eigenvalues are obtained exactly. We found that the energy spectrum and the degeneracy of the levels depend on the alignment of spin with the orbital angular momentum. For parallel alignment, the second term in the potential makes no contribution to the energy levels.


81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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