Geometric Perturbation Theory in Physics

Geometric Perturbation Theory in Physics
Author: Stephen Malvern Omohundro
Publisher: World Scientific
Total Pages: 594
Release: 1986
Genre: Science
ISBN: 9789971501365

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This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic geometry, to the foundations of broad areas of physics. Throughout the book, intuitive descriptions and diagrams are used to elucidate the mathematical theory. It develops a coordinate-free framework for perturbation theory and uses this to show how underlying symplectic structures arise from physical asymptotes. It describes a remarkable parity between classical mechanics which arises asymptotically from quantum mechanics and classical thermodynamics which arises asymptotically from statistical mechanics. Included here is a section with one hundred unanswered questions for further research.


Geometric Perturbation Theory in Physics
Language: en
Pages: 594
Authors: Stephen Malvern Omohundro
Categories: Science
Type: BOOK - Published: 1986 - Publisher: World Scientific

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This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic
Geometric Perturbation Theory and Plasma Physics
Language: en
Pages:
Authors:
Categories:
Type: BOOK - Published: 1985 - Publisher:

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Modern differential geometric techniques are used to unify the physical asymptotics underlying mechanics, wave theory and statistical mechanics. The approach gi
Geometric Perturbation Theory and Plasma Physics
Language: en
Pages: 518
Authors: Stephen Malvern Omohundro
Categories:
Type: BOOK - Published: 1985 - Publisher:

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Differential Geometric Methods in Theoretical Physics
Language: en
Pages: 795
Authors: Ling-Lie Chau
Categories: Technology & Engineering
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep a
From Classical Field Theory to Perturbative Quantum Field Theory
Language: en
Pages: 536
Authors: Michael Dütsch
Categories: Mathematics
Type: BOOK - Published: 2019-03-18 - Publisher: Springer

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This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is ac