Algebraic Methods In Physics
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Algebraic Methods In Physics
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Author : Yvan Saint-Aubin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebraic Methods In Physics written by Yvan Saint-Aubin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book pays tribute to two pioneers in the field of Mathematical physics, Jiri Patera and Pavel Winternitz of the CRM. Each has contributed more than forty years to the subject of mathematical physics, particularly to the study of algebraic methods.
Algebraic Methods In Statistical Mechanics And Quantum Field Theory
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Author : Dr. Gérard G. Emch
language : en
Publisher: Courier Corporation
Release Date : 2014-08-04
Algebraic Methods In Statistical Mechanics And Quantum Field Theory written by Dr. Gérard G. Emch and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-04 with Science categories.
This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.
Geometric And Algebraic Topological Methods In Quantum Mechanics
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Author : G. Giachetta
language : en
Publisher: World Scientific
Release Date : 2005
Geometric And Algebraic Topological Methods In Quantum Mechanics written by G. Giachetta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry''s geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
Algebraic And Diagrammatic Methods In Many Fermion Theory
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Author : Frank E. Harris
language : en
Publisher: Oxford University Press, USA
Release Date : 1992
Algebraic And Diagrammatic Methods In Many Fermion Theory written by Frank E. Harris and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Psychology categories.
The importance of electron correlation effects for the accurate description of the electronic structure of atoms, molecules and crystals is now widely recognized. In this text, modern theories of electronic structure and methods of incorporating electron correlation contributions are developed using a diagrammatic and algebraic formulation. This approach is intended to facilitate an understanding of the interconnections between the different approaches. As a further aid to understanding, the methods developed in the text are illustrated with examples from molecular and solid state quantum mechanics. The techniques presented here treat such topics as operator algebra, Hartree-perturbation theory and the coupled cluster method. The text is intended for graduate students in physical chemistry and physics.
Analytic Methods In Physics
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Author : Charlie Harper
language : en
Publisher: Wiley-VCH
Release Date : 1999-12-23
Analytic Methods In Physics written by Charlie Harper and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-23 with Science categories.
Mathematical Methods Of Classical Mechanics
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Author : V.I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Mathematical Methods Of Classical Mechanics written by V.I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.
Algebraic Structure Of String Field Theory
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Author : Martin Doubek
language : en
Publisher: Springer Nature
Release Date : 2020-11-22
Algebraic Structure Of String Field Theory written by Martin Doubek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-22 with Science categories.
This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.
Asymptotic Methods In Equations Of Mathematical Physics
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Author : B Vainberg
language : en
Publisher: CRC Press
Release Date : 2024-12-20
Asymptotic Methods In Equations Of Mathematical Physics written by B Vainberg and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-20 with Science categories.
This book provides a single source for both students and advanced researchers on asymptotic methods employed in the linear problems of mathematical physics. It opens with a section based on material from special courses given by the author, which gives detailed coverage of classical material on the equations of mathematical physics and their applications, and includes a simple explanation of the Maslov Canonical Operator method. The book goes on to present more advanced material from the author's own research. Topics range from radiation conditions and the principle of limiting absorption for general exterior problems, to complete asymptotic expansion of spectral function of equations over all of space. This book serves both as a manual and teaching aid for students of mathematics and physics and, in summarizing for the first time in a monograph problems previously investigated in journal articles, as a comprehensive reference for advanced researchers.
Analysis Of Dirac Systems And Computational Algebra
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Author : Fabrizio Colombo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis Of Dirac Systems And Computational Algebra written by Fabrizio Colombo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics
Geometrical Methods Of Mathematical Physics
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Author : Bernard F. Schutz
language : en
Publisher: Cambridge University Press
Release Date : 1980-01-28
Geometrical Methods Of Mathematical Physics written by Bernard F. Schutz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-28 with Science categories.
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.