Theory of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamical Systems

Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantum mechanics and applied scientists interested in accurate atomic and molecular models. This is a reference to those working in the new field of relativistic optics, in topics related to relativistic interactions between very intense laser beams and particles, and is based on 30 years of research. The novelty of this work consists of accurate connections between the properties of quantum equations and corresponding classical equations used to calculate the energetic values and the symmetry properties of atomic, molecular and electrodynamical systems, as well as offering applications using methods for calculating the symmetry properties and the energetic values of systems and the calculation of properties of high harmonics in interactions between very intense electromagnetic fields and electrons.

• Features detailed explanations of the theories of atomic and molecular systems, as well as wave properties of stationary atomic and molecular systems
• Provides periodic solutions of classical equations, semi-classical methods, and theories of systems composed of very intense electromagnetic fields and particles
• Offers models and methods based on 30 years of research

Alexandru Popa received a Physicist Engineer degree at the Polytechnic University of Bucharest in 1966, a Master of Science degree from the University of California, Berkeley, in 1972, and a Ph.D. from the Polytechnic University of Bucharest in 1974. He was a Senior Researcher at the Laser Department, National Institute for Laser, Plasma and Radiation Physics, Institute of Atomic Physics, Bucharest. Since 2016 he has been retired but still works in the field of physical systems modeling.

Among his achievements, over a period of more than 50 years, are a connection between quantum equations and classical equations of physical systems, a wave model for atomic and molecular systems, whose accuracy is comparable to the accuracy of the standard Hartree–Fock model and accurate models of relativistic and ultra-relativistic interactions between laser beams and electrons. The wave model is extended to new fields such as molecular biology and the generation of electromagnetic waves and very short pulses in the attosecond domain.