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On the relativistic LS-coupling

Authors: P. Alberto, M. Fiolhais, and Miguel Oliveira

Ref.: European Journal of Physics 19, 553-562 (1998)

Abstract: The fact that the Dirac equation is linear in the space and time derivatives leads to the coupling of spin and orbital angular momenta that is of a pure relativistic nature. We illustrate this fact by computing the solutions of the Dirac equation in an infinite spherical well, which allows to go from the relativistic to the non-relativistic limit by just varying the radius of the well.

DOI: 10.1088/0143-0807/19/6/008