Quantization, Nonlinear Partial Differential Equations, and Operator Algebra: 1994 John Von Neumann Symposium on Quantization and Nonlinear Wave Equations June 7-11 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts
William Arveson · Thomas Branson · Irving Ezra Segal
yan, 1996 · Proceedings of Symposia in Pure Mathematics 59-kitob · American Mathematical Soc.
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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.
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