Over the past few years, several leading research centers have produced photons, electrons, and neutrons in unusual quantum states with orbital angular momentum - the so-called "twisted" particles (twisted / vortex particles). Theoretical and experimental studies of such particles are necessary both for fundamental particle physics and quantum optics, and for the physics of nanomaterials, electron microscopy with subnanometer resolution, astrophysics, the development of new methods of optical communications, etc.
This PhD project proposes a theoretical study of the quantum dynamics of charged twisted particles - leptons, hadrons, ions in external electromagnetic fields used in linear and cyclic accelerators and in electron microscopes. The aim of the project is to answer the question about the stability of twisted quantum states in a wide class of realistic fields, the efficiency of accelerating that particles to relativistic energies by the methods of accelerator physics, considering the emission of photons, quantum transitions with a change in the orbital angular momentum and spin, as well as for different charge and mass of the particle (electron, proton, heavy ion). The PhD student will write formulas, develop a theoretical model, and conduct modeling in a package (for example, in Mathematica).