The Angular Momentum Operator in the Dirac Equation

Details The Angular Momentum Operator in the Dirac Equation The Angular Momentum Operator in the Dirac Equation

1994-05-05

arxiv.org/abs/hep-th/9405033v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages,CPT-94/P.3027,latex

Scientific paper

10.1088/0143-0807/15/4/006

The Dirac equation in spherically symmetric fields is separated in two different tetrad frames. One is the standard cartesian (fixed) frame and the second one is the diagonal (rotating) frame. After separating variables in the Dirac equation in spherical coordinates, and solving the corresponding eingenvalues equations associated with the angular operators, we obtain that the spinor solution in the rotating frame can be expressed in terms of Jacobi polynomials, and it is related to the standard spherical harmonics, which are the basis solution of the angular momentum in the Cartesian tetrad, by a similarity transformation.

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