Free Form of the Foldy-Wouthuysen Transformation in External Electromagnetic Fields

Details Free Form of the Foldy-Wouthuysen Transformation in External Electromagnetic Fields Free Form of the Foldy-Wouthuysen Transformation in External Electromagnetic Fields

2010-08-29

arxiv.org/abs/1008.4902v1

Physics

Mathematical Physics

8 pages. Accepted in J. Phys. A: Math. and Theo. (Fast Track Communication)

Scientific paper

We derive the exact Foldy-Wouthuysen transformation for Dirac fermions in a time independent external electromagnetic field in the basis of the Ritus eigenfunctions, namely the eigenfunctions of the operator $(\gamma \cdot \Pi)^2$, with $\Pi^\mu = p^\mu - e A^\mu$. In this basis, the transformation acquires a free form involving the dynamical quantum numbers induced by the field.

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