Alexander S. Shumovsky, Valery I. Rupasov

Quantum Communication and Information Technologies

July 2003, ISBN 1-4020-1453-8, Paperback

Book Series: NATO SCIENCE SERIES: II: Mathematics, Physics and Chemistry : Volume 113

Remarkable recent developments in the field of quantum communications and quantum information processing include the achievement of quantum teleportation, quantum communication channels based on entangled states, and the discovery of quantum computing algorithms. The present book addresses the physical foundations of the subject, as well as the technological problems, discussing such aspects as photonics, quantum imaging, engineered entanglement in atomic and other physical systems, Bose-Einstein condensation, and decoherence. Indispensable reading for graduates and Ph.D. students in departments of physics, electrical and electronic engineering, mathematics, and computer science seeking both an orientation as well as advanced training in the field.

Piotr A. Krylov, Alexander V. Mikhalev, Askar A. Tuganbaev

Endomorphism Rings of Abelian Groups

July 2003, ISBN 1-4020-1438-4, Hardbound

Book Series: ALGEBRAS AND APPLICATIONS : Volume 2

This book is the first monograph on the theory of endomorphism rings of Abelian groups. The theory is a rapidly developing area of algebra and has its origin in the theory of operators of vector spaves. The text contains additional information on groups themselves, introducing new concepts, methods, and classes of groups. All the main fields of the theory of endomorphism rings of Abelian groups from early results to the most recent are covered. Neighbouring results on endomorphism rings of modules are also mentioned.

This text has many pedagogical features:

all the necessary definitions and formulations of assertions on Abelian groups, rings, and modules are gathered in the first two sections;
each chapter begins with a brief summary of results;
there are exercises of varying difficulty in each section;
lesser known facts on rings and modules are presented with proofs;
there are comments at the end of each chapter together with a brief historical review as well as a look at the future direction of modern research;
an extensive bibliography is provided.
This book will be invaluable as a background text for introductory as well as advanced graduate courses. Professional algebraists might find it useful as a first systematic presentation of results previously only to be found scattered throughout various journals.

Erhard Steffens, Revaz Shanidze

Spin Structure of the Nucleon

September 2003, ISBN 1-4020-1440-6, Hardbound

Book Series: NATO SCIENCE SERIES: II: Mathematics, Physics and Chemistry : Volume 111

A comprehensive survey of the most recent results from the field of quark-gluon structure of the nucleon, in particular how the spin of the nucleon is shared by its constituents. After very intriguing results from CERN and SLAC at the end of the 1980s, the last decade has seen a set of second-generation experiments at high energy accelerators that have yielded precise information on the solution of the 'Spin Crisis' - as well as opening up new questions. The articles are written by exerts from the leading collaboration and theory groups as well as providing an expert summary of the state of the art, the book points the way to future research directions. Its main focus is on semi-inclusive and exclusive measurements of deep inelastic lepton scattering, which enables for the first time the determination of the flavor-separated quark spin distributions. Future developments on generalized parton distributions and their interpretation as well as the transverse spin structure are also covered. An indispensable volume for all working in hadronic physics.

Contents and Contributors

http://www.wkap.nl/prod/b/1-4020-1440-6?a=1

Alexander S. Shumovsky, Valery I. Rupasov

Quantum Communication and Information Technologies

July 2003, ISBN 1-4020-1452-X, Hardbound

Book Series: NATO SCIENCE SERIES: II: Mathematics, Physics and Chemistry : Volume 113

Remarkable recent developments in the field of quantum communications and quantum information processing include the achievement of quantum teleportation, quantum communication channels based on entangled states, and the discovery of quantum computing algorithms. The present book addresses the physical foundations of the subject, as well as the technological problems, discussing such aspects as photonics, quantum imaging, engineered entanglement in atomic and other physical systems, Bose-Einstein condensation, and decoherence. Indispensable reading for graduates and Ph.D. students in departments of physics, electrical and electronic engineering, mathematics, and computer science seeking both an orientation as well as advanced training in the field.

Isabelle Titeux, Yakov Yakubov

Application of Abstract Differential Equations to Some Mechanical Problems

August 2003, ISBN 1-4020-1451-1, Hardbound

Book Series: MATHEMATICS AND ITS APPLICATIONS : Volume 558

The theory of differential operator equations has been described in various monographs. But the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained In this book, we give a systematic treatment of the differential equations with application to partial differential equations obtained from elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. We approximate and, when it is possible, expand the solution of problems by elementary solutions.

This book is intended for scientists (mathematicians in the field of ordinary and partial differential equations, differential-operator equations; theoretical mechanics; theoretical physicists) and graduate students in Functional Analysis, Differential Equations, Equations of Mathematical Physics, and related topics.