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 systemsProvides 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

I.1. Connection between Schrödinger and Hamilton-Jacobi equations in the case of stationary atomic and molecular systems.

I.2. Connection between Klein-Gordon and relativistic Hamilton-Jacobi equations for systems composed of electromagnetic fields and particles.