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Title: General spin and pseudospin symmetries of the Dirac equation
Authors: P. Alberto, M. Malheiro 
T. Frederico, A. de Castro 
Keywords: Quantum Physics; Quantum Physics; Physics - Strongly Correlated Electrons; Nuclear Theory
Issue Date: 8-Dec-2015
Citation: TY - JOUR PB - American Physical Society ID - 10.1103/PhysRevA.92.062137 DO - 10.1103/PhysRevA.92.062137 TI - General spin and pseudospin symmetries of the Dirac equation PY - 2015/12/31/ UR - JF - Physical Review A JA - Phys. Rev. A J1 - PRA VL - 92 IS - 6 SP - 062137 EP - A1 - Alberto, P. AU - Malheiro, M. AU - Frederico, T. AU - de Castro, A. ER -
Serial title, monograph or event: Physical Review A
Volume: 92
Issue: 6
Abstract: In the 70's Smith and Tassie, and Bell and Ruegg independently found SU(2) symmetries of the Dirac equation with scalar and vector potentials. These symmetries, known as pseudospin and spin symmetries, have been extensively researched and applied to several physical systems. Twenty years after, in 1997, the pseudospin symmetry has been revealed by Ginocchio as a relativistic symmetry of the atomic nuclei when it is described by relativistic mean field hadronic models. The main feature of these symmetries is the suppression of the spin-orbit coupling either in the upper or lower components of the Dirac spinor, thereby turning the respective second-order equations into Schr\"odinger-like equations, i.e, without a matrix structure. In this paper we propose a generalization of these SU(2) symmetries for potentials in the Dirac equation with several Lorentz structures, which also allow for the suppression of the matrix structure of second-order equation equation of either the upper or lower components of the Dirac spinor. We derive the general properties of those potentials and list some possible candidates, which include the usual spin-pseudospin potentials, and also 2- and 1-dimensional potentials. An application for a particular physical system in two dimensions, electrons in graphene, is suggested.
DOI: 10.1103/PhysRevA.92.062137
Rights: openAccess
Appears in Collections:I&D CFis - Artigos em Revistas Internacionais

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