This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a...

One would be surprised if Nature had made no use of it. P.A.M. Dirac According to some dictionaries, one meaning of the notion of beauty is symmetry . Probably, beauty is not entirely in the eye of the beholder . It seemstoberelatedtothesymmetryoftheobject.Fromaphysicalviewpoint, this de?nition is very attractive: it allows us to describe a central concept of theoretical physics over the last two centuries as being a quest for higher symmetry of Nature. The more symmetric the theory, the more beautiful it looks. Unfortunately, our imperfect (at least at low-energy scale) world is full of...

This book contains papers first presented at the Second International Workshop on Field-Programmable Logic and Applications (FPL '92), held in Vienna, Austria, in August-September 1992. The growing importance of field-programmable devices, especially of field-programmable gate arrays, is demonstrated by the increased number of papers submitted in 1992. Of the 70 papers submitted, 23 were selected for this book. The first three papers were invited and discuss strategic issues and give surveys. Three papers deal with new FPGA architectures and five papers introduce methods and tools. The last...

The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics." It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my...

The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for...

This edition differs from the second chiefly in the addition of about tOO pages devoted to the quantum (or geometric, or Berry) phase, a subject that did not exist when this book was written. The changes in the remainder of the book consist of corrections of a small number of misprints. While it may seem that adding two chapters on the quantum phase is overemphasizing a currently fashionable subject, they actually complete the development of quantum theory as given in this book. We start with simple models, synthesizing them into complicated "molecules." With the new chap- ters, we end with...

This workshop on Graphics Modeling and Visualization in Scientific, Engineering and Technical Applications was held in Darmstadt, Germany, on 13-14 April 1992. Visualization is known as the key technology to control massive data sets and to achieve insight into these tera bytes of data. Graphics Modeling is the enabling technology for advanced interaction. This book contains the keynote papers from three internationally well-known invited speakers and a selection of papers submitted to this workshop. Due to the effective scientific contacts between German and Portuguese researchers, and the...

This selection of papers emphasizes the advances in the field and covers a wide range of topics in geophysics, geodynamics, and oceanography to which modern geodesy is contributing.

This volume presents advanced human-computer interaction technologies and their applications. It includes 28 technical papers covering a range of application areas, such as speech processing and interfaces, remote data access by multisensors, data fusion and medical surveillance.