Supersymmetric Patterns in the Pseudospin Spin and Coulomb Limits of the Dirac Equation with Scalar and Vector Potentials

Details Supersymmetric Patterns in the Pseudospin Spin and Coulomb Limits of the Dirac Equation with Scalar and Vector Potentials Supersymmetric Patterns in the Pseudospin Spin and Coulomb Limits of the Dirac Equation with Scalar and Vector Potentials

2003-12-04

arxiv.org/abs/nucl-th/0312018v2

Phys.Rev.Lett. 92 (2004) 202501; Erratum-ibid. 92 (2004) 219902

Physics

Nuclear Physics

Nuclear Theory

Minor adjustments to PRL requirements, Phys. Rev. Lett. in press

Scientific paper

10.1103/PhysRevLett.92.219902

We show that the Dirac equation in 3+1 dimensions gives rise to supersymmetric patterns when the scalar and vector potentials are (i) Coulombic with arbitrary strengths or (ii) when their sum or difference is a constant, leading to relativistic pseudospin and spin symmetries. The conserved quantities and the common intertwining relation responsible for such patterns are discussed.

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