Classical limit of relativistic quantum mechanical equations in the Foldy-Wouthuysen representation

2013/02/08 by Alexander J. Silenko, A. J. Silenko · 39 citations
Mathematics · Physics and Astronomy · #Classical limit #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Equations of motion #Hamiltonian (control theory) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum limit #Quantum mechanics #Representation (politics) #acm:81-XX #math-ph #math.MP #msc:81-XX

paper · pdf · doi:10.1134/s1547477113020131

published in Physics of Particles and Nuclei Letters 10(2), 91-93 (Pleiades Publishing) · 6 pages

arxiv created 2013/02/08 · arxiv updated 2013/02/11 · openalex publication_date 2013/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is shown that, under the Wentzel-Kramers-Brillouin approximation conditions, using the Foldy-Wouthuysen (FW) representation allows the problem of finding a classical limit of relativistic quantum mechanical equations to be reduced to the replacement of operators in the Hamiltonian and quantum mechanical equations of motion by the respective classical quantities.

Citations

• Localized States for Elementary Systems
• Equivalence principle and experimental tests of gravitational spin effects
• Foldy–Wouthuysen transformation for relativistic particles in external fields
• Semiclassical limit for Dirac particles interacting with a gravitational field
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit