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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 Segal, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- John von Neumann Symposium on Quantization and Nonlinear Wave Equations, Corporate Author.
- Conference Name:
- John von Neumann Symposium on Quantization and Nonlinear Wave Equations (1994 : Massachusetts Institute of Technology), issuing body.
- John von Neumann Symposium on Quantization and Nonlinear Wave Equations
- Series:
- Proceedings of symposia in pure mathematics ; v. 59.
- Proceedings of symposia in pure mathematics, 0082-0717 ; volume 59
- Language:
- English
- Subjects (All):
- Geometric quantization--Congresses.
- Geometric quantization.
- Differential equations, Nonlinear--Congresses.
- Differential equations, Nonlinear.
- Differential equations, Partial--Congresses.
- Differential equations, Partial.
- Operator algebras--Congresses.
- Operator algebras.
- Mathematical physics--Congresses.
- Mathematical physics.
- Physical Description:
- 1 online resource (239 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1996]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Rigorous covariant form of the correspondence principle""""The relativistic Boltzmann equation""; ""Microlocal analysis and nonlinear PDE""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-9362-9
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