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Mathematics of Quantization and Quantum Fields

2013-03-07 Science
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Release : 2013-03-07
Genre : Science
Kind : eBook
Book Rating : 116/5 ( reviews)

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Book Synopsis Mathematics of Quantization and Quantum Fields by : Jan Dereziński

Download or read book Mathematics of Quantization and Quantum Fields written by Jan Dereziński. This book was released on 2013-03-07. Available in PDF, EPUB and Kindle. Book excerpt: A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers.

Geometric Quantization and Quantum Mechanics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 663/5 ( reviews)

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Book Synopsis Geometric Quantization and Quantum Mechanics by : Jedrzej Sniatycki

Download or read book Geometric Quantization and Quantum Mechanics written by Jedrzej Sniatycki. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institute of Theoretical Physics of the Technical University Clausthal. The aim of the seminars was to present geometric quantization from the point of view· of its applica tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems. The group representation aspects of geometric quantiza tion as well as proofs of the existence and the uniqueness of the introduced structures can be found in the expository papers of Blattner, Kostant, Sternberg and Wolf, and also in the references quoted in these papers. The books of Souriau (1970) and Simms and Woodhouse (1976) present the theory of geometric quantization and its relationship to quantum mech anics. The purpose of the present book is to complement the preceding ones by including new developments of the theory and emphasizing the computations leading to results in quantum mechanics.

Mathematical Aspects of Quantum Field Theory

2010-08-12 Science
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Release : 2010-08-12
Genre : Science
Kind : eBook
Book Rating : 801/5 ( reviews)

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Book Synopsis Mathematical Aspects of Quantum Field Theory by : Edson de Faria

Download or read book Mathematical Aspects of Quantum Field Theory written by Edson de Faria. This book was released on 2010-08-12. Available in PDF, EPUB and Kindle. Book excerpt: Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.

Quantum Fields and Strings: A Course for Mathematicians

1999-10-25 Mathematics
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Release : 1999-10-25
Genre : Mathematics
Kind : eBook
Book Rating : 133/5 ( reviews)

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Book Synopsis Quantum Fields and Strings: A Course for Mathematicians by : Pierre Deligne

Download or read book Quantum Fields and Strings: A Course for Mathematicians written by Pierre Deligne. This book was released on 1999-10-25. Available in PDF, EPUB and Kindle. Book excerpt: A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.

Quantum Field Theory

2008-08-26 Mathematics
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Release : 2008-08-26
Genre : Mathematics
Kind : eBook
Book Rating : 058/5 ( reviews)

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Book Synopsis Quantum Field Theory by : G. B. Folland

Download or read book Quantum Field Theory written by G. B. Folland. This book was released on 2008-08-26. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam-Weinberg model of electromagnetic and weak interactions.

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