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On a zone structure for channeled particles in optical lattices

Charged particle beams might reveal bound motion, known as channeling, in specially structured electromagnetic fields of various origins. Features of channeling motion in crystals are well established. Indeed, both classical and quantum theories of crystal channeling are well known, most of the features were experimentally proved. In this work we continue our studies on interaction of charged beams in crossed laser fields. Namely, we analyse a zone structure of channeled motion for a particle in optical lattice formed by superposition of electromagnetic fields. The particle energy spectrum in a single channel is considered. Strong difference of the energy spectrum for a channeled particle in optical lattices from those in crystals is shown.