This book is devoted to theoretical methods used in the extreme circumstances of very strong electromagnetic fields. The development of high power lasers, ultrafast processes, manipulation of electromagnetic fields and the use of very fast charged particles interacting with other charges requires an adequate theoretical description. Because of the very strong electromagnetic field, traditional theoretical approaches, which have primarily a perturbative character, have to be replaced by descriptions going beyond them. In the book an extension of the semi-classical radiation theory and classical dynamics for particles is performed to analyze single charged atoms and dipoles submitted to electromagnetic pulses. Special attention is given to the important problem of field reaction and controlling dynamics of charges by an electromagnetic field.

This book contains essentially two parts. A Review of the classical, quantum, and semi-classical theories of collision are given in the first part, while their applications to the atom and molecule collisions are given in the second part. The book is useful to scientists other than atom and molecular physicists, and is as general as possible, however, with the emphasis on the atom and molecule collisions.

This book is devoted to theoretical methods used in the extreme circumstances of very strong electromagnetic fields. The development of high power lasers, ultrafast processes, manipulation of electromagnetic fields and the use of very fast charged particles interacting with other charges requires an adequate theoretical description. Because of the very strong electromagnetic field, traditional theoretical approaches, which have primarily a perturbative character, have to be replaced by descriptions going beyond them. In the book an extension of the semi-classical radiation theory and classical dynamics for particles is performed to analyze single charged atoms and dipoles submitted to electromagnetic pulses. Special attention is given to the important problem of field reaction and controlling dynamics of charges by an electromagnetic field.

Advances in experimental techniques are allowing researchers to investigate the extremes of the dynamics of particle interactions with electromagnetic fields. The theoretical tools at our disposal are classical and quantum mechanics and experience has shown that it is dangerous to dismiss one at the expense of the other. Each has merits that should be fully explored; the problem, however, is to bridge the gap between them so that the information they give is complementary rather than contradictory. In this book, that goal is achieved by formulating five postulates, and the level of their implementation distinguishes the two mechanics. That the dynamics of particles (charges) is not complete without unifying it with the dynamics of electromagnetic fields is given special emphasis.In the first of three parts in the book, Newton dynamics is formulated from the Liouville equation. In the third part, this forms the basis for implementing the uncertainty postulate to formulate quantum mechanics. The theories of relativity and electromagnetic interactions are derived from one of the five postulates in the second part, and the unification of the dynamics of particles and electromagnetic fields is formulated in the second and the third parts. Numerous examples from each section illustrate the theory.Employing functional analysis instead of the more abstract techniques of linear spaces, linear operators, group theory, etc., the book makes well suited to advanced undergraduate level courses in classical and quantum mechanics. The material is also intended for postgraduate courses, in atomic and molecular physics in particular, with examples covering modern trends in research.The book is accompanied by a CD-ROM featuring various illustrative examples.