Pseudospin, Spin, and Coulomb Dirac-Symmetries: Doublet Structure and Supersymmetric Patterns

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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8 pages, 1 figure, Proc. Int. Workshop on "Blueprints for the Nucleus: From First Principles to Collective Motion", May 17-23,

Scientific paper

10.1142/S0218301305002837

Relativistic symmetries of the Dirac Hamiltonian with a mixture of
spherically symmetric Lorentz scalar and vector potentials, are examined from
the point of view of supersymmetric quantum mechanics. The cases considered
include the Coulomb, pseudospin and spin limits relevant, respectively, to
atoms, nuclei and hadrons.

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