Trapping of classical particles by an electromagnetic potential well deepening over time

On the basis of fundamental relations of classical mechanics, we established a mechanism of trapping and localization of sufficiently slow particles by an electromagnetic potential well that becomes deeper over time (up to a certain limit). It is assumed that these particles are contained in high vacuum, and acting upon them forces are not dissipative. Such potential wells can be created by means of an electromagnetic field (nonresonance radiation, in particular) with fixed spatial distribution and nondecreasing over time electric field strength. Trapping and localization of particles in such electromagnetic traps, which takes place due to gradient forces, is analyzed for laser beams with typical intensity distribution. The obtained results can be used in high-resolution spectroscopy of different particles, including, in some cases, atoms and molecules.