Overview

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 Schrodinger 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.

Full Product Details

Author:   William Arveson ,  etc. ,  Thomas Branson ,  Irving E. Segal
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 59
Weight:   0.652kg
ISBN:  

9780821803813

ISBN 10:   0821803816
Pages:   224
Publication Date:   30 May 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

$E_0$-semigroups in quantum field theory by W. Arveson Nonlinear phenomena in the spectral theory of geometric linear differential operators by T. Branson Existence theorem for solutions of Einstein's equations with 1 parametric spacelike isometry groups by Y. Choquet-Bruhat and V. Moncrief Quantum stochastic calculus, evolutions, and flows by R. L. Hudson Endomorphisms of $\mathcal B(\mathcal H)$ by O. Bratteli, P. T. Jorgensen, and G. L. Price Absolutely continuous spectrum in random Schrodinger operators by A. Klein Quantization by deformation and statistical mechanics by A. Lichnerowicz Possible classification of continuous spatial semigroups of *-endomorphisms of $\mathfrak B(\mathfrak h)$ by R. T. Powers Rigorous covariant form of the correspondence principle by I. Segal The relativistic Boltzmann equation by W. A. Strauss Microlocal analysis and nonlinear PDE by M. E. Taylor.

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