Quantization, Nonlinear Partial Differential Equations, and Operator Algebra

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Quantization, Nonlinear Partial Differential Equations, and Operator Algebra is written by William Arveson and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821803816 (ISBN 10) and 9780821803813 (ISBN 13).

This book describes the outstanding recent progress in this important and challenging field and presents general background for the scientific context and specifics regarding key difficulties. Quantization is developed in the context of rigorous nonlinear quantum field theory in four dimensions and in connection with symplectic manifold theory and random Schrödinger operators. Nonlinear wave equations are exposed in relation to recent important progress in general relativity, in purely mathematical terms of microlocal analysis, and as represented by progress on the relativistic Boltzmann equation. Most of the developments in this volume appear in book form for the first time. The resulting work is a concise and informative way to explore the field and the spectrum of methods available for its investigation.