2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/87802Present understanding of accelerator optics is based mainly on classical mechanics and electrodynamics. In recent years quantum theory of charged-particle beam optics has been under development. In this paper the newly developed formalism is outlined.7 pages. To appear in Proceedings of the 1999 Particle Accelerator Conference (PAC99), 29 March -- 02 April 1999, New York City, Eds: A. Luccio and W. MacKay. http://www.pd.infn.it/~khan/Accelerator PhysicsOpticsQuantum Physicstext