Foldy-Wouthuysen Transformation and Semiclassical Transition for Relativistic Quantum Mechanics
arXiv:0910.5155
Abstract
It is shown that the Foldy-Wouthuysen transformation for relativistic particles in strong external fields provides the possibility of obtaining a meaningful classical limit of the relativistic quantum mechanics. The full agreement between quantum and classical theories is proved. The coincidence of the semiclassical equations of motion of particles and their spins with the corresponding classical equations is established. The Niels Bohr's correspondence principle is valid not only in the limit of large spin quantum numbers but also for particles with any spin as well as for spinless particles.
Talk given at the XVI International Congress on Mathematical Physics, Prague, Czech Republic, 3-8 August 2009