Foldy–Wouthuysen transformation for relativistic particles in external fields

2003/06/19 by Alexander J. Silenko · 109 citations
Mathematics · Physics and Astronomy · #Bogoliubov transformation #Electromagnetic field #Electroweak interaction #Magnetic field #Magnetic moment #Operator (biology) #Particle physics theoretical and experimental studies #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Relativistic particle #Representation (politics) #Transformation (genetics) #math-ph #math.MP #msc:81Q05

paper · pdf · doi:10.1063/1.1579991

published in Journal of Mathematical Physics 44(7), 2952-2966 (American Institute of Physics) · 22 pages

openalex publication_date 2003/06/19 · arxiv created 2004/04/27 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A method of Foldy–Wouthuysen transformation for relativistic spin-1/2 particles in external fields is proposed. It permits the determination of the Hamilton operator in the Foldy–Wouthuysen representation with any accuracy. Interactions between a particle having an anomalous magnetic moment and nonstationary electromagnetic and electroweak fields are investigated.

Citations

• Localized States for Elementary Systems
• Relativistic Field Theories of Elementary Particles
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit

Cited by

• Classical limit of relativistic quantum mechanical equations in the Foldy-Wouthuysen representation
• Spin–rotation couplings: spinning test particles and Dirac field
• Validation of the Eriksen method for the exact Foldy-Wouthuysen representation