Bücher der Reihe Fundamental Theories of Physics

In this volume we continue the logical development of the work begun in Volume I, and the equilibrium theory now becomes a very special case of the exposition presented here.

Special relativity and quantum mechanics, formulated early in the twentieth century, are the two most important scientific languages and are likely to remain so for many years to come.

What is more, the subject "elementary particles" as dealt with in the 3 6 dialogue stretches over (2-3) 10 years of historical time and a space of 10 +/-1 pages of scientific literature. Therefore the fact that Math and Phys talk about the history of element ary particles is not an attempt to present the scientific history of this realm of physics.

As the laminar and the turbulent flows play an important role in the processes of evolution in the open systems, and in particular, in the processes of self-organization, the need arises for assessing the relative degree of order of laminar and turbulent motions, and also for comparing the degree of order of various turbulent motions.

In both the system under consideration is viewed as part of a larger system, assumed to be isolated in a reasonable approximation. They are differentiated mainly by the way in which the state Hilbert space of the open system is related to that of the isolated system - either by orthogonal sum or by tensor product.

The first aspects concern the fundamental nature and the basic c- cepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems. A set of the hierarchical asymptotic analytical- numerical methods is given as an evidence of the practical effectiveness of the proposed version of hierarchical theory.

Proceedings of a Symposium in Honour of the 80th Birthday of Jean-Pierre Vigier

The following chapters are devoted to the standard theory of the effective action and the geometric im provement due to Vilkovisky, the manifestly covariant quantization of gauge fields, zeta-function regularization in mathematics and in quantum field theory, and the problem of boundary conditions in one-loop quantum theory.

Proceedings of the Conference, held in Urbino, Italy, September 25-October 3, 1985

geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense.

Presents quantum logic in relation to von Neumann algebra theory. This book reconstructs and reevaluates the Birkhoff-von Neumann concept of quantum logic. It also covers recent results such as the violation of Bell's inequality in relativistic quantum field theory and the logical independence of von Neumann lattices.

Devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations, this volume presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. It is suitable for scientists whose work involves differential geometry and mechanics of particles and systems.

The erratic motion of pollen grains and other tiny particles suspended in liquid is known as Brownian motion, after its discoverer, Robert Brown, a botanist who worked in 1828, in London.

Proceedings of the Second Max Born Symposium held near Wroclaw, Poland, September 1992

Writing even in overview of more than a half-century of professional life of a giant of twentieth century science and technology such as Edward Teller is a daunting task. We ask in advance the reader's pardon for passing over quickly or omitting entirely aspects of Teller's life and work which may seem of major significance but which we, due to differences of perspective or knowledge, speak too little or not at all. We refer those interested in greater depth to the excellent biography by Stanley Blumberg and Gwen Owens, The Life and Times of Edward Teller, and we have (with his permission) printed Professor Eugene Wigner's An Appreciation On the 60th Birthday of Edward Teller immediately after this foreword, so that the reader may consider the perspective of one of Teller's most illustrious contemporaries more than two decades ago. Edward Teller was born in Budapest, Hungary on January 15,1908. While his childhood was spent in the twilight of the Victorian age and its abrupt conclusion in the Great War and his youth in its especially turbulent after­ math in central Europe, he doesn't bear visible scars from it.

"Quantum Physics of the Solid State: an Introduction" Draft foreword: 26/09/03 If only this book had been available when I was starting out in science!

To accept the special theory of relativity has, it is universally agreed, consequences for our philosophical views about space and time.

The tremendous progress in astronomical observations over the past sixty years has revealed a vast structured universe whose fundamental parti cles are galaxies, and clusters thereof. He further demonstrated that matter exists in two interchangeable forms - a mass form and an energy form - which interact closely at all levels.

There have been earlier attempts to approach the subject in this way, to be sure, reflected in the books by Tribus [Thermostat ics and Thermodynamics, Van Nostrand, 1961], Baierlein [Atoms and Information Theory, Freeman, 1971], and Hobson [Concepts in Statistical Mechanics, Gordon and Breach, 1971].

The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc.

Bell's Theorem and its associated implications for the nature of the physical world remain topics of great interest. The Fall Workshop held at George Mason University on October 21 and 22, 1988 and titled "Bell's Theorem, Quantum Theory and Conceptions of the Universe" was of a more general scope.

We refer to (1) the confinement of single electrons for long term study, and (2) the interaction of electrons with high intensity laser fields. The precision experiments on trapped electrons by the Washington group quoted above have already led to a Nobel prize for the most accurate measurements of the electron magnetic moment.

However, the absence of rigorous meth ods of calculations of many particle nuclear systems with strong interaction makes it necessary to use macroscopic nuclear models to describe particular nuclear properties.

I believe that the book makes a reasonable transition between the many excellent elementary books such as Gri?th's Introduction to Electrodynamics and the obviously graduate level books such as Jackson's Classical Electrodynamics or Landau and Lifshitz' Elect- dynamics of Continuous Media.

Due to its extraordinary predictive power and the great generality of its mathematical structure, quantum theory is able, at least in principle, to describe all the microscopic and macroscopic properties of the physical world, from the subatomic to the cosmological level. Nevertheless, ever since the Copen­ hagen and Gottingen schools in 1927 gave it the definitive formu­ lation, now commonly known as the orthodox interpretation, the theory has suffered from very serious logical and epistemologi­ cal problems. These shortcomings were immediately pointed out by some of the principal founders themselves of quantum theory, to wit, Planck, Einstein, Ehrenfest, Schrodinger, and de Broglie, and by the philosopher Karl Popper, who assumed a position of radical criticism with regard to the standard formulation of the theory. The aim of the participants in the workshop on Open Questions in Quantum Physics, which was held in Bari (Italy), in the Department of Physics of the University, during May 1983 and whose Proceedings are collected in the present volume, accord­ ingly was to discuss the formal, the physical and the epistemo­ logical difficulties of quantum theory in the light of recent crucial developments and to propose some possible resolutions of three basic conceptual dilemmas, which are posed respectively ~: (a) the physical developments of the Einstein-Podolsky-Rosen argument and Bell's theorem, i. e.

Part I eases the mainstream reader into the ideas of the new paradigm by providing the reader with a discussion that should look very familiar, but contains subtle nuances.

Although the debate about the true nature of the quantum behavior of atomic systems has never ceased, there are two periods during which it has been particularly intense: the years that saw the founding of quantum mechanics and, increasingly, these modern times.

It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory.

Remarkable recent progress in quantum optics has given rise to extremely precise quantum measurements that are used in the research into the fundamentals of quantum physics, and in different branches of physics such as optical spectroscopy.