Atomic and Nuclear Physics

Biography

Biography: Athanasios Petridis

Abstract

Time-dependent non-relativistic and relativistic quantum mechanics has been extensively used in atomic physics. It also allows for detailed studies of the development of systems in particle and nuclear physics not only for asymptoticallyfree states but also for states in the non-perturbative regime. It reveals rich phenomena that are not accessible with timeindependent calculations. Some examples are the non-exponential decay of quantum systems including atomic and nuclear, survival probabilities of quarkonia in heavy-ion collisions, relativistic quantum interference and the Aharonov-Bohm eff ect, relativistic dynamic mass renormalization and others. It can also be used to calculate bound states by introducing imaginarytime propagation as well as the time-evolution of coupled fermion systems such as quarks bound in heavy and light mesons.In this talk several examples of non-relativistic and relativistic systems will be presented using analytical calculations when possible and numerical calculations for more complex problems. Th e computational challenges, especially those related to non-linear equations, will be discussed together with some very eff ective solutions. Th e time-dependent methods are very efficient in solving complex problems without the need of obtaining eigenvalues and eigenstates for interacting systems and the use of relatively small computational facilities. Th e relativistic, time-dependent Aharonov-Bohm eff ect. Th e electron probability density propagating diagonally is asymmetrically diff racted around aa very long, impenetrable solenoid that is placed perpendicularly to the plane at the center.