John M. Charap - Böcker

Many of the fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, in particular the problems encountered in 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 arose from a conference held during that symposium, and 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.

Many of the fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, in particular the problems encountered in 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 arose from a conference held during that symposium, and 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.

In this fascinating book, John Charap offers a panoramic view of the physicist's world as the twenty-first century opens--a view that is entirely different from the one that greeted the twentieth century. We have learned that the universe is billions of galaxies larger than we imagined--and billions of years older. We know more about how it came to be and what it is. Because of physics, we live in a world of greater danger and more convenience, smaller particles and bigger ideas. Charap introduces these ideas but spares us the math behind them. After a review of the twentieth century's thorough transformation of physics, he checks in on the latest findings from particle physics, astrophysics, chaos theory, and cosmology. His tour includes ongoing efforts to find the universe's missing matter and to account for the first moments after the big bang. Taking readers right to the field's speculative edge, he explains how superstring theory may finally unite quantum mechanics with general relativity to produce a consistent quantum theory of gravity. Along the way, Charap poses the questions that continue to inspire research. Why is the universe flat? Why can't we forecast weather better?Can Schrodinger's cat really be simultaneously dead and alive? Why does fractal geometry keep showing up in strange places? Might spacetime have eleven dimensions? What does quantum mechanics mean about the nature of our world? In this book's pages, the nonphysicist will accept as commonsensical Heisenberg's uncertainty principle, and physicists can meet across specialties. Students can access physics' critical concepts, and poets can learn a new language to describe the universe's many wonders. Taking us from the ultraviolet catastrophe that undid the Newtonian world to tomorrow's Theory of Everything, Charap brings today's most fascinating science down to Earth, where we can all enjoy it.

A notoriously difficult subject, covariant electrodynamics is nonetheless vital for understanding relativistic field theory. John M. Charap's classroom-tested introduction to the mathematical foundations of the topic presents the material in an approachable manner. Charap begins with a historical overview of electrodynamics and a discussion of the preliminary mathematics one needs in order to grasp the advanced and abstract concepts underlying the theory. He walks the reader through Maxwell's four equations, explaining how they were developed and demonstrating how they are applied. From there, Charap moves through the other components of electrodynamics, such as Lorentz transformations, tensors, and charged particle behavior. At each point, he carefully works through the mathematics, applies the concepts to simple physical systems, and provides historical context that makes clear the connections among the theories and the mathematicians responsible for developing them. A concluding chapter reviews the history of electrodynamics and points the way for independent testing of the theory.Thorough, evenly paced, and intuitive, this friendly introduction to high-level covariant electrodynamics is a handy and helpful addition to any physicist's toolkit.