  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.
