Share

Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields

2017-12-20 Science
Download Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields PDF Online Free

Author :
Release : 2017-12-20
Genre : Science
Kind : eBook
Book Rating : 132/5 ( reviews)

GET EBOOK


Book Synopsis Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields by : Asao Arai

Download or read book Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields written by Asao Arai. This book was released on 2017-12-20. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation relations and canonical anti-commutation relations, Bogoliubov transformations, infinite-dimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and a short description to each model is given.To graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory, this book is a good introductory text. It is also well suited for self-study and will provide readers a firm foundation of knowledge and mathematical techniques for reading more advanced books and current research articles in the field of mathematical analysis on quantum fields. Also, numerous problems are added to aid readers to develop a deeper understanding of the field.

Mathematical Theory of Quantum Fields

1999-10-22 Science
Download Mathematical Theory of Quantum Fields PDF Online Free

Author :
Release : 1999-10-22
Genre : Science
Kind : eBook
Book Rating : 116/5 ( reviews)

GET EBOOK


Book Synopsis Mathematical Theory of Quantum Fields by : Huzihiro Araki

Download or read book Mathematical Theory of Quantum Fields written by Huzihiro Araki. This book was released on 1999-10-22. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discuss the theory of special relativity, scattering theory, and sector theory in this context.

Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields

2022-10-18 Science
Download Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields PDF Online Free

Author :
Release : 2022-10-18
Genre : Science
Kind : eBook
Book Rating : 782/5 ( reviews)

GET EBOOK


Book Synopsis Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields by : Asao Arai

Download or read book Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields written by Asao Arai. This book was released on 2022-10-18. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson–Fermion Fock space serves this purpose. The analysis developed in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.

Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields

2022
Download Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields PDF Online Free

Author :
Release : 2022
Genre :
Kind : eBook
Book Rating : 799/5 ( reviews)

GET EBOOK


Book Synopsis Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields by : Asao Arai

Download or read book Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields written by Asao Arai. This book was released on 2022. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson-Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson-Fermion Fock space serves this purpose. The analysis developed in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.

Quantum Mechanics and Quantum Field Theory

2011-02-03 Science
Download Quantum Mechanics and Quantum Field Theory PDF Online Free

Author :
Release : 2011-02-03
Genre : Science
Kind : eBook
Book Rating : 480/5 ( reviews)

GET EBOOK


Book Synopsis Quantum Mechanics and Quantum Field Theory by : Jonathan Dimock

Download or read book Quantum Mechanics and Quantum Field Theory written by Jonathan Dimock. This book was released on 2011-02-03. Available in PDF, EPUB and Kindle. Book excerpt: Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

You may also like...