Exact Foldy-Wouthuysen transformation of the Dirac-Pauli Hamiltonian in the weak-field limit by the method of direct perturbation theory

• Published in: arXiv.org
• Main Authors: Chiou, Dah-Wei, Chen, Tsung-Wei
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 20.11.2016
• Subjects: Electromagnetic fields; Electromagnetic induction; Electromagnetism; Lorentz force; Perturbation theory; Physics - Quantum Physics; Power series; Transformations (mathematics)

We apply the method of direct perturbation theory for the Foldy-Wouthuysen (FW) transformation upon the Dirac-Pauli Hamiltonian subject to external electromagnetic fields. The exact FW transformations exist and agree with those obtained by Eriksen's method for two special cases. In the weak-fie...