Beam optics applications: Quantumlike versus classical-like domains

A review of the charged-particle beam optics in terms of recently developed approaches within both classical-like and quantumlike frameworks is presented. On the basis of the mutual connection of optics and mechanics, a brief overview of the quantumlike approach to electron optics is presented. In particular, the main results of the optical applications of the thermal wave model in phase space are given within the Wigner-Weyl picture, Furthermore, the tomographic approach in both classical-like and quantumlike domains in terms of the marginal-probability distribution is also presented. In particular, possible applications of the tomographic approach to optical problems with aberrations for accelerators are put forward. Some aspects of using quantumlike systems in quantum computing projects are discussed.