This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
This book is a collection of reviews and essays about the recent developments in the area of Symmetries and applications of Group Theory. Contributions have been written mostly at the graduate level but some are accessible to advanced undergraduates. The book is of interest to a wide audience and covers a broad range of topics with a strong degree of thematical unity. The book is part of a Series of books on Symmetries in Science and may be compared to the published Proceedings of the Colloquia on Group Theoretical Methods in Physics. Here, however, prevails a distinguished character for presenting extended reviews on present applications to Science, not restricted to Theoretical Physics.
Our Universe is made of a dozen fundamental building blocks. Among these, neutrinos are the most mysterious - but they are the second most abundant particles in the Universe. This book provides detailed discussions of how to describe neutrinos, their basic properties, and the roles they play in nature.
Socially enhanced Services Computing deals with a novel and exciting new field at the intersection between Social Computing, Service-oriented Computing, Crowd Computing, and Cloud Computing. The present work presents a collection of selected papers by the editors of this volume, which they feel will help the reader in understanding this field. The approach discussed allows for a seamless integration of people into trusted dynamic compositions of Human-provided Services and Software-based services, thus empowering new interaction models and processes in massive collaboration scenarios in a Future Internet.
In recent years, the study of weak interaction and its relationship with the other fundamnetal interactions of nature has progressed rapidly. Weak interactions of leptons and quarks provides an up-to-date account of this continuing research. The Introduction discusses early models and historical developments in the understanding of the weak force. The authors then give a clear presentation of the modern theoretical basis of weak interactions, going on to discuss recent advances in the field. These include development of the eletroweak gauge theory, and the discovery of neutral currents and of a host of new particles. There is also a chapter devoted entirely to neutrino astrophysics. Its straightforward style and its emphasis on experimental results will make this book an excellent source for students (problem sets are included at the end of each chapter) and experimentalists in the field. Physicists whose speciality lies outside the study of elementary particle physics will also find it useful.
For many years neutrino was considered a massless particle. The theory of a two-componentneutrino,whichplayedacrucialroleinthecreationofthetheoryof theweakinteraction,isbasedontheassumptionthattheneutrinomassisequalto zero. We now know that neutrinos have nonzero, small masses. In numerous exp- iments with solar, atmospheric, reactor and accelerator neutrinos a new p- nomenon, neutrino oscillations, was observed. Neutrino oscillations (periodic transitionsbetweendifferent?avorneutrinos? ,? ,? )arepossibleonlyifneutrino e ? ? mass-squareddifferencesaredifferentfromzeroandsmalland?avorneutrinosare “mixed”. The discovery of neutrino oscillations opened a new era in neutrino physics: an era of investigation of neutrino masses, mixing, magnetic moments and other neutrino properties. After the establishment of the Standard Model of the el- troweak interaction at the end of the seventies, the discovery of neutrino masses was the most important discovery in particle physics. Small neutrino masses cannot be explained by the standard Higgs mechanism of mass generation. For their explanation a new mechanism is needed. Thus, small neutrino masses is the ?rst signature in particle physics of a new beyond the Standard Model physics. It took many years of heroic efforts by many physicists to discover n- trino oscillations. After the ?rst period of investigation of neutrino oscillations, manychallengingproblemsremainedunsolved.Oneofthemostimportantisthe problem of the nature of neutrinos with de?nite masses. Are they Dirac n- trinos possessing a conserved lepton number which distinguish neutrinos and antineutrinos or Majorana neutrinos with identical neutrinos and antineutrinos? Many experiments of the next generation and new neutrino facilities are now under preparation and investigation. There is no doubt that exciting results are ahead.
This meeting on Hadron Spectroscopy and the Confinement Problem took place from June 27 to July 8, 1995. The first four days were at Queen Mary and Westfield College, London and the last six at the University College of Swansea, Wales. The reason for the split sites was a question of accomodating the 54 students and 12 lecturers. However, it was enjoyed by all concerned, providing the opportunity to sample the nightlife of London one week and enjoy the delightful coastal area around Swansea the following week. The meeting immediately preceded the Hadron '95 conference in Manchester. The contents of this volume run roughly parallel to the order of the lectures. Martin Faessler's brief and that of Madjid Boutemeur was to review experimental tech niques as well as physics results. We have tried to review all the areas which are currently active experimentally. This means mostly Light Meson Spectroscopy. However, Simon Capstick gave us a welcome review of Baryon Spectroscopy and the coming CEBAF program. This is an opportunity to thank NATO for their generous financial support, and also the two host institutions for excellent coordination and an enjoyable stay.
The standard model in particle physics unifies the theories of electromagnetic and weak interactions. Much work has been over the last decade, and this book describes some of the leading experimental tests of the model. It is unique in collecting in one volume all of the formulas, recipes, and prescriptions necessary for testing the theory and will be an invaluable tool as experiments move into higher energies. It aims to give a comprehensive exposition of the foundations of the Standard Model and its applications to high energy phenomena.