On the relativistic L-S coupling

Physics – Physics Education

Scientific paper

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LateX2e, 12 pages, 1 figure, accepted in Eur. J. Phys

Scientific paper

10.1088/0143-0807/19/6/008

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.

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