H. Stumpf – författare

Nonperturbative quantum field theory means the evaluation and investigation of quantum field theory be yond perturbation theory, andincludes a wide range o fp rob lems. It has been one oft he most fascinating topics of theoretical physical research in the past few decades and, in addition, it is closely linked with the investigation ofthe structure ofmatter. That isw hy an enormous number of papers has been de voted tot he treatment oft hese problems, and it would go beyond the scope of this preface - and even oft he whole book - to give areview of these developments. Thus we confine ourselves to referring to some modern books on quantum field theory where these topicsare treated; for instance, the books by Weinberg [Wein 95], [Wein 96], Dobado, Gomez Nicola, Marotoand Pelaez [Dob9 7]a nd Latal and Schweiger [Lat 97], and where further references canb e found. But summarizing the results obtained so far in this regard one cans ee that inspite ofg reat efforts there is still need of improvement and further progress.

Interactions between Electromagnetic Fields and Matter deals with the principles and methods that can amplify electromagnetic fields from very low levels of signals. This book discusses how electromagnetic fields can be produced, amplified, modulated, or rectified from very low levels to enable these for application in communication systems. This text also describes the properties of matter and some phenomenological considerations to the reactions of matter when an action of external fields results in a polarization of the particle system and changes the bonding forces existing in the matter. This book considers the above phenomena in detail by explaining matter as a conglomeration of charged mass points in the electromagnetic field. Quantum mechanics and Maxwell''s theory can then account for the precise description of the interactions between the electromagnetic fields and matter. This book then describes special processes such as 1) the static and quasistatic interactions and 2) dynamic processes, particularly the resonance process. This text also defines a general form for electric and magnetic reactions using the generalized field equation. This book also cites the anharmonic oscillator and the single spin as different examples of electric and magnetic dipole interactions. This text is suitable for electrical engineers, radio technicians, physicists whose work is in quantum mechanics, and engineers interested in electro-magnetism theory.

The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces the reader to the quantum mechanical three-body problem, its difficulties, and its importance in nuclear physics. Scattering experiments with three-particle breakup are presented. Attention then turns to some concepts of quantum mechanics, with emphasis on two-particle scattering and the Hamiltonian for three particles. The chapters that follow are devoted to the Faddeev equations, including those for scattering states and transition operators, and how such equations can be solved in practice. The solution of the Faddeev equations for separable potentials and local potentials is presented, along with the use of Padé approximation to solve the Faddeev equations. This book concludes with an appraisal of variational methods for bound states, elastic and rearrangement scattering, and the breakup reaction. A promising variational method for solving the Faddeev equations is described. This book will be of value to students interested in three-particle physics and to experimentalists who want to understand better how the theoretical data are derived.