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

Abstract

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.

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

References in corpus (4)

• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• Fermion Condensate and Vacuum Current Density Induced by Homogeneous and Inhomogeneous Magnetic Fields in (2+1)-Dimensions
• Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background
• Foldy-Wouthuysen Transformation for a Spinning Particle with Anomalous Magnetic Moment

Cited by in corpus (2)

• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited
• Strongly interacting matter in extreme magnetic fields