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Advanced Mechanics
This book can be used as a textbook for a graduate course on mechanics or for self-study. There are a variety of problems ranging from exercises that verify parts of the text, moderately difficult calculations, to suggested research projects. Connections to other disciplines of mathematics and physics are emphasized.
Fluid Mechanics
Fluid Mechanics: A Geometrical Point of View emphasizes general principles of physics illustrated by simple examples in fluid mechanics. Advanced mathematics (e.g., Riemannian geometry and Lie groups) commonly used in other parts of theoretical physics (e.g. General Relativity or High Energy Physics) are explained and applied to fluid mechanics. This follows on from the author's book Advanced Mechanics (Oxford University Press, 2013). After introducing the fundamental equations (Euler and Navier-Stokes), the book provides particular cases: ideal and viscous flows, shocks, boundary layers, instabilities, and transients. A restrained look at integrable systems (KdV) leads into a formulation of...
Infinite Dimensional Groups and Manifolds
The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern--Weil construction in infinite dimensions, the hamiltonian approach to quantum field theory, and different aspects of large N limits ranging from approximation methods in quantum mechanics to modular forms and string/gauge theory duality. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics.
Quantization and Infinite-Dimensional Systems
As all participants know by now, the Bialowieza Summer Workshop has acquired a life of its own. The charming venue of the meetings, the informal atmosphere, the enthusiasm of the participants and the intensity of the scientific interaction have all conspired to make these meetings wonderful learning experiences. The XIIth Workshop (held from July 1 - 7, 1993) was once again a topical meeting within the general area of Differential Geometric Methods in Physics, focusing specifically on Quantization and Infinite-dimensional Systems. Altogether, about fifty participants attended the workshop. As before, the aim of the workshop was to have a small number of in-depth lectures on the main theme an...
Quantum Systems
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Quantum Systems: New Trends And Methods - Proceedings Of The International Workshop
The purpose of the workshop is to discuss both local and global geometrical and topological effects in quantum systems, in the context of the new methods of investigation. The main topics are: non-perturbative methods in quantum theory; geometrical and topological effects in quantum dynamics; group-theoretical and algebraic methods in the theory of quantum systems; quantum systems in external fields and curved spaces; new results: from subnuclear physics to cosmology.
High Energy Physics
There are four fundamental forces in nature: gravitational, electromagnetic, weak, and strong forces. The last two are sometimes referred to as nuclear forces. It is the main objective of high energy physics to explore these forces, and hopefully unify them into one fundamental theory. This goal has made high energy physics one of the most ambitious, attractive, challenging, and powerful areas of physics, and has attracted experts from other areas including pure and applied mathematics, and computer science. The MRST annual conference brings together senior and junor investigators and provides a friendly and stimulating atmosphere to discuss recent developments in high energy physics. A broad range of topics in high energy physics was covered in this conference, and therefore these proceedings will be very useful to both senior researchers as well as graduate students in high energy physics, nuclear physics, and computational physics, providing most recent ideas, techniques, and directions for future research in this field.
What Next? Exploring The Future Of High-energy Physics - Proceedings Of The 16th Annual Montreal-rochester-syracuse-toronto (Mrst) Meeting
This volume contains the proceedings of the above meeting which attracted over 100 physicists from the United States, Canada, and Europe. MRST-94 explored a wide variety of current issues ranging from the formal aspects of theoretical high-energy physics (conformal field theory, strings, supersymmetry, black holes, new field-theoretic techniques, non-perturbative methods, and finite-temperature field theory) to the more phenomenological (mass generation, heavy quarks, CP violation, weak decays, neutrino physics, cosmic phenomena, heavy-ion physics, collider physics, and issues surrounding the recent evidence for the top quark). This volume thus provides a broad overview of recent developments in theoretical high-energy physics.
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Current Algebra and Anomalies
Current algebra remains our most successful analysis of fundamental particle interactions. This collection of surveys on current algebra and anomalies is a successor volume to Lectures on Current Algebra and Its Applications (Princeton Series in Physics, 1972). Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
