Quantization Nonlinear Partial Differential Equations And Operator Algebra
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Quantization Nonlinear Partial Differential Equations And Operator Algebra
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Author : John Von Neumann
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Quantization Nonlinear Partial Differential Equations And Operator Algebra written by John Von Neumann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
Recent inroads in higher-dimensional nonlinear quantum field theory and in the global theory of relevant nonlinear wave equations have been accompanied by very interesting cognate developments. These developments include symplectic quantization theory on manifolds and in group representations, the operator algebraic implementation of quantum dynamics, and differential geometric, general relativistic, and purely algebraic aspects. Quantization and Nonlinear Wave Equations thus was highly appropriate as the theme for the first John von Neumann Symposium (June 1994) held at MIT. The symposium was intended to treat topics of emerging signifigance underlying future mathematical developments. 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.
Non Linear Partial Differential Operators And Quantization Procedures
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Author : S.I. Andersson
language : en
Publisher: Springer
Release Date : 2006-11-14
Non Linear Partial Differential Operators And Quantization Procedures written by S.I. Andersson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Quantization Methods In The Theory Of Differential Equations
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Author : Vladimir E. Nazaikinskii
language : en
Publisher: CRC Press
Release Date : 2002-05-16
Quantization Methods In The Theory Of Differential Equations written by Vladimir E. Nazaikinskii and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-16 with Mathematics categories.
This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified w
Non Linear Partial Differential Operators And Quantization Procedures
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Author : S. I. Andersson
language : en
Publisher:
Release Date : 1983
Non Linear Partial Differential Operators And Quantization Procedures written by S. I. Andersson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Quantization Methods In The Theory Of Differential Equations
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Author : Vladimir E. Nazaikinskii
language : en
Publisher: CRC Press
Release Date : 2002-05-16
Quantization Methods In The Theory Of Differential Equations written by Vladimir E. Nazaikinskii and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-16 with Mathematics categories.
This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified way with the use of a special integral transform. This book covers recent as well as established results, treated within the framework of a universal approach. It also includes applications and provides a useful reference text for graduate and research-level readers.
Quantized Partial Differential Equations
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Author : Agostino Prastaro
language : en
Publisher: World Scientific
Release Date : 2004
Quantized Partial Differential Equations written by Agostino Prastaro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book presents, for the first time, a systematic formulation ofthe geometric theory of noncommutative PDE''s which is suitable enoughto be used for a mathematical description of quantum dynamics andquantum field theory. A geometric theory of supersymmetric quantumPDE''s is also considered, in order to describe quantumsupergravity. Covariant and canonical quantizations of (super) PDE''sare shown to be founded on the geometric theory of PDE''s and toproduce quantum (super) PDE''s by means of functors from the categoryof commutative (super) PDE''s to the category of quantum (super)PDE''s. Global properties of solutions to (super) (commutative) PDE''sare obtained by means of their integral bordism groups.
Nonlinear Partial Differential Operators And Quantization Procedures
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Author : Stig I. Andersson
language : en
Publisher:
Release Date : 1963
Nonlinear Partial Differential Operators And Quantization Procedures written by Stig I. Andersson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Partial Differential Equations And Their Applications Proceedings Of The Conference
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Author : Luigi Rodino
language : en
Publisher: World Scientific
Release Date : 1999-11-26
Partial Differential Equations And Their Applications Proceedings Of The Conference written by Luigi Rodino and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-26 with Mathematics categories.
This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.
Quantization Pdes And Geometry
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Author : Dorothea Bahns
language : en
Publisher: Birkhäuser
Release Date : 2016-02-11
Quantization Pdes And Geometry written by Dorothea Bahns and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-11 with Mathematics categories.
This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian geometry. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen. The authors explain fundamental concepts and ideas and present them clearly. Starting from basic notions, these course notes take the reader to the point of current research, highlighting new challenges and addressing unsolved problems at the interface between mathematics and physics. All contributions are of interest to researchers in the respective fields, but they are also accessible to graduate students.
Pseudo Differential Operators And Generalized Functions
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Author : Stevan Pilipović
language : en
Publisher: Birkhäuser
Release Date : 2015-04-27
Pseudo Differential Operators And Generalized Functions written by Stevan Pilipović and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-27 with Mathematics categories.
This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.