Geometry of Constrained Dynamical Systems
“Geometry of Constrained Dynamical Systems” by John M. Charap, published by Cambridge University Press on July 31, 2008, spans 352 pages and is presented in English. This book explores the intersection of geometry and modern physics through the lens of constrained dynamical systems. It compiles a series of papers that emerged from a conference at the Newton Institute, focusing on significant topics such as Chern-Simons theory, gauge invariance, and quantum gravity.
Readers will find a diverse range of discussions that delve into the formulation of constrained systems as quantum systems and their profound geometric connections. The contributions from leading authorities in the field provide insights into contemporary issues in theoretical physics, making this work relevant for both theoretical physicists and mathematicians. The book addresses complex subjects, including general relativity and the nature of time, offering a topical perspective on the latest advancements in mathematical and computational physics.
Official synopsis Publisher
Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, and in particular the problems of formulating them as quantum systems, has many profound links with geometry. These links were explored in the Symposium on Geometry and Gravity held at the Newton Institute in 1994. This book, which arose from a conference held during that symposium, is a collection of papers devoted to problems such as Chern-Simons theory, sigma-models, gauge invariance and loop quantization, general relativity and the notion of time, and quantum gravity. They present a lively, varied and topical perspective on this important branch of theoretical physics from some of the leading authorities in the subject, and will be of value to theoretical physicists and mathematicians interested in the latest advances.
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