Relativistic pseudospin and spin symmetries in physical systems _ recent results

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Alberto, P.^1 ; Castro, A.^2 ; Fiolhais, M.^1 ; Lisboa, R.^3 ; Malheiro, M.^4

Physics Department and Centro de Física Computacional, University of Coimbra, P-3004-516 Coimbra, Portugal^1

Departamento de Física e Química, Universidade Estadual Paulista, 12516-410 Guaratinguetá, São Paulo, Brazil^2

Escola de Ciências e Tecnologia, Universidade Federal Do Rio Grande Do Norte, 59014-615 Natal, Rio Grande do Norte, Brazil^3

Departamento de Física, Instituto Tecnológico de Aeronáutica, Centro Técnico Aeroespacial, 12228-900 So Jose dos Campos, Sao Paulo, Brazil^4

关键词: Dirac equations;    Heavy nucleus;    ITS applications;    Mean field;    Nuclear structure;    Physical systems;    Scalar and vector potentials;    Spin symmetry;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012069/pdf
DOI  :  10.1088/1742-6596/490/1/012069

来源: IOP

【 摘 要 】

In this paper we revise the main features of pseudospin and spin symmetries of the Dirac equation with scalar and vector potentials and mention several of its applications to physical systems. These symmetries have been extensively researched in the last 15 years, especially pseudospin symmetry, mainly in its application in understanding certain nuclear structure features of heavy nuclei. The realization of both symmetries has also been studied using several mean-field scalar and vector potentials. For many classes of potentials, these symmetries allow to have analytical solutions of the Dirac equation which otherwise would not have been possible. We report here some recent results related to anti-fermions, Coulomb and confining potentials.